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K-theory:     more books (100)

Strategies and Games: Theory and Practice by Prajit K. Dutta, 1999-02-26 Complex Topological K-Theory (Cambridge Studies in Advanced Mathematics) by Efton Park, 2008-03-24 Operator Algebras: Theory of C*-Algebras and von Neumann Algebras (Encyclopaedia of Mathematical Sciences) by Bruce Blackadar, 2009-12-15 Guide to Psychoanalytic Developmental Theories by Joseph Palombo, Harold K. Bendicsen, et all 2009-06-09 Algebraic Topology and Algebraic K-Theory: Proceedings of a Symposium in Honor of John C. Moore. (AM-113) (Annals of Mathematics Studies) Algebraic Cobordism and K Theory (Memoirs of the American Mathematical Society ; no. 221) by Victor P. Snaith, 1979-09 Optimization in Economic Theory by Avinash K. Dixit, 1990-09-13 Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92) by Fan R. K. Chung, 1996-12-03 A Textbook of Graph Theory (Universitext) by R. Balakrishnan, K. Ranganathan, 1999-12-17 Network Flows: Theory, Algorithms, and Applications by Ravindra K. Ahuja, Thomas L. Magnanti, et all 1993-02-28 Time: Towards a Consistent Theory (Fundamental Theories of Physics) by C.K. Raju, 2010-11-02 L2-Invariants: Theory and Applications to Geometry and K-Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics) (v. 44) by Wolfgang Lück, 2002-09-17 Coding Theory and Cryptography: The Essentials, Second Edition (Pure and Applied Mathematics) by D.C. Hankerson, Gary Hoffman, et all 2000-08-04 Twentieth-Century Literary Theory: A Reader

lists with details

61. Title Details - Cambridge University Press
    Home Catalogue An Introduction to ktheory for C*-Algebras. Related Areas An Introduction to k-theory for C*-Algebras. M. Rørdam, F. Larsen, N. Laustsen.  
    http://titles.cambridge.org/catalogue.asp?isbn=0521789443

62. K-THEORY AND NONCOMMUTATIVE GEOMETRY
    ktheory AND NONCOMMUTATIVE GEOMETRY. March 1, 2004-July 17, 2004. Second announcement Planning. Institut Henri Poincaré, Centre Emile  
    http://www.ihp.jussieu.fr/ceb/ceb-progscient-encours.html
    
    Extractions: K-THEORY AND NONCOMMUTATIVE GEOMETRY March 1, 2004-July 17, 2004 Second announcement Planning Institut Henri Poincaré, Centre Emile Borel 11, rue Pierre et Marie Curie, Paris 05, France Tél. (33) 1 44 27 67 64 Fax (33) 1 44 07 09 37 It is highly recommended to register on the IHP Web site : www.ihp.jussieu.fr Organizers : Max KAROUBI, Ryszard NEST commutative) Fabien MOREL Introduction to motivic homotopy theory of schemes Boris TSYGAN Cyclic homology, noncommutative differential calculus and index theorems Short courses Eric M. FRIEDLANDER Cohomology and K-theory web Lars HESSELHOLT The de Rham-Witt complex and topological Hochschild homology Vincent LAFFORGUE KK-theory and applications Ryszard NEST Deformation quantization and index theorems Victor NISTOR K-theory and cyclic homology web Dimitri TAMARKIN Operads and formality theorems Series of lectures on advanced subjects Paul BAUM Jean BELLISSARD Joachim CUNTZ,

63. Topics In K-theory And L-functions
    Topics in ktheory and L-functions. The course meets Tuesdays and Thursdays 1130 - 100 in Science Center 310. Fernando Rodriguez Villegas.  
    http://www.math.harvard.edu/~villegas/course.html
    
    Extractions: villegas@math.harvard.edu Office Hours Tues, Thurs 10:00 - 11:00 Suggested exercises on periods. Notes last updated: May 14, 2002. The following are class notes taken by Sam Vandervelde (samv@mandelbrot.org). Please let me or Sam know of any comments, corrections, etc. Thanks. Notes 1 Notes 2 Notes 3 Notes 4 ... Notes 5 The following are class notes taken by Matilde Lalin (mlalin@math.harvard.edu). Please let me or Matilde know of any comments, corrections, etc. Thanks. Notes 6

64. Milnor, J.W.: Introduction To Algebraic K-Theory. (AM-72).
    Introduction to Algebraic ktheory. (AM-72). John Willard Milnor. Paper 1972 $35.00 / £22.95 ISBN 0-691-08101-8 200 pp. Shopping Cart.  
    http://pup.princeton.edu/titles/1568.html

65. Bak, A.: K-Theory Of Forms. (AM-98).
    ktheory of Forms. (AM-98). Anthony Bak. Paper 1981 $37.50 / £24.95 ISBN 0-691-08275-8 280 pp. Shopping Cart. Series Annals  
    http://pup.princeton.edu/titles/70.html

66. Encyclopedia4U - K-theory - Encyclopedia Article
    ktheory. In turn, Jean-Pierre Serre used the analogy of vector bundles with projective modules to found in 1959 what became algebraic k-theory.  
    http://www.encyclopedia4u.com/k/k-theory.html
    
    Extractions: ENCYCLOPEDIA U com Lists of articles by category ... SEARCH : The topic of K-theory spans the subjects of algebraic topology abstract algebra and some areas of application like operator algebras and algebraic geometry . It leads to the construction of families of K-functors, which contain useful but often hard-to-compute information. The subject takes its name from a particular construction applied by Alexander Grothendieck in his proof of the Riemann-Roch theorem . In it, a commutative monoid of sheaves of abelian groups under direct sum was converted into a group, by the formal addition of inverses (an explicit way of explaining a left adjoint ). This construction was taken up by Atiyah and Hirzebruch to define K(X) for a topological space X , by means on the analogous sum construction for vector bundles. This was the basis of the first of the extraordinary cohomology theories of algebraic topology . It played a big role in the proof around 1962 of the Index Theorem In turn, Jean-Pierre Serre used the analogy of vector bundles with projective modules to found in 1959 what became algebraic K-theory . He made Serre's conjecture , that projective modules over the ring of polynomials over a field are free modules; this resisted proof for 20 years.

67. K-theory Definition Meaning Information Explanation
    ktheory. In turn, Jean-Pierre Serre used the analogy of vector bundles with projective modules to found in 1959 what became algebraic k-theory.  
    http://www.free-definition.com/K-theory.html
    
    Extractions: Google News about your search term The topic of K-theory spans the subjects of algebraic topology abstract algebra and some areas of application like operator algebras and algebraic geometry . It leads to the construction of families of K- functor s, which contain useful but often hard-to-compute information. The subject takes its name from a particular construction applied by Alexander Grothendieck in his proof of the Riemann-Roch theorem . In it, a commutative monoid of sheaves of abelian groups under direct sum was converted into a group, by the formal addition of inverses (an explicit way of explaining a left adjoint). This construction was taken up by Atiyah and Hirzebruch to define K(X) for a topological space X , by means on the analogous sum construction for vector bundle s. This was the basis of the first of the extraordinary cohomology theories of algebraic topology . It played a big role in the proof around 1962 of the Index Theorem In turn, Jean-Pierre Serre used the analogy of vector bundle s with projective module s to found in 1959 what became algebraic K-theory . He made Serre's conjecture , that projective modules over the ring of polynomial s over a field are free module s; this resisted proof for 20 years.

68. PlanetMath: K-theory
    This is version 14 of ktheory, born on 2002-08-23, modified 2004-04-16. Object id is 3338, canonical name is KTheory. Accessed 1500 times total.  
    http://planetmath.org/encyclopedia/KTheory.html
    
    Extractions: K-theory (Topic) Topological K-theory is a generalised cohomology theory on the category of compact Hausdorff spaces. It classifies the vector bundles over a space up to stable equivalences . Equivalently, via the Serre-Swan theorem , it classifies the finitely generated projective modules over the -algebra Let be a unital -algebra over and denote by the algebraic direct limit of matrix algebras under the embeddings . Identify the completion of with the stable algebra (where is the compact operators on ), which we will continue to denote by . The group is the Grothendieck group abelian group of formal differences ) of the homotopy classes of the projections in . Two projections and are homotopic if there exists a norm continuous path of projections from to . Let and be two projections. The sum of their homotopy classes

69. PlanetMath: K-theory
    This is version 14 of ktheory, born on 2002-08-23, modified 2004-04-16. Object id is 3338, canonical name is KTheory. Accessed 1510 times total.  
    http://planetmath.org/encyclopedia/TopologicalKTheory.html
    
    Extractions: K-theory (Topic) Topological K-theory is a generalised cohomology theory on the category of compact Hausdorff spaces. It classifies the vector bundles over a space up to stable equivalences . Equivalently, via the Serre-Swan theorem , it classifies the finitely generated projective modules over the -algebra Let be a unital -algebra over and denote by the algebraic direct limit of matrix algebras under the embeddings . Identify the completion of with the stable algebra (where is the compact operators on ), which we will continue to denote by . The group is the Grothendieck group abelian group of formal differences ) of the homotopy classes of the projections in . Two projections and are homotopic if there exists a norm continuous path of projections from to . Let and be two projections. The sum of their homotopy classes

70. C*-algebras And K-theory 2003-04
    C*algebras and k-theory 2003-04. Lecture Notes. Part II k-theory for C*-algebras Overview of k-theory; Projections in C*-algebras;  
    http://remote.science.uva.nl/~npl/CK.html
    
    Extractions: Part II: [pdf] [ps] Give a complete proof of Cuntz' theorem: Any functor E from the category of C*-algebras to the category of abelian groups that is i) stable; ii) half-exact; iii) homotopy invariant, satisfies Bott periodicity (where the higher E-groups are defined via suspension, as for E=K). N. Higson and J. Roe, Analytic K-Homology (Oxford, 2000). [pdf] [ps] Part I: [pdf] [ps] Part II: [pdf] [ps] prof.dr. N.P. Landsman npl@science.uva.nl dr. C. Carvalho ccarvalh@science.uva.nl MRI Masterclass students, M.Sc. students in mathematics or theoretical physics. Elementary topology and differential geometry, basic theory of Hilbert and Banach spaces (definitions, basic theorems, and simple examples). Mathematics students should have acquired this background in Analysis 1B, 2A, Real analysis, and Differental geometry. Theoretical physics students should know this material from Quantum Mechanics, Geometric Methods in Physcs, and general education.

71. Twisted K-theory And Strings
    My papers on twisted ktheory, strings and duality The isomophisms in twisted k-theory and twisted cohomology also follow in this case.  
    http://www.maths.adelaide.edu.au/people/vmathai/dbrane.html
    
    Extractions: My papers on twisted K-theory, strings and duality String theory is arguably the most exciting research area in modern mathematical physics. It is known to the general public as the "Theory Of Everything", thanks to its great success in unifying Relativity and Quantum Field Theory, yielding Quantum Gravity theory. The impact of string theory is not just felt in physics, but it also has profound interactions with a broad spectrum of modern mathematics, including noncommutative geometry, K-theory and index theory. The pioneers of string theory were M.B. Green and J.H. Schwarz and the leading figure in the field is E. Witten The theory of D-branes forms an important part of string theory. It arises as the T-dual of open strings on a circle bundle, where the open strings in the dual theory are no longer free to move everywhere in space, but are endowed with Dirichlet boundary conditions so that the endpoints are free to move only on a submanifold known as a D-brane. For a link describing the mathematics behind D-branes, cf. superstrings . Such D-branes come with (Chan-Paton) vector bundles, and therefore their charge determines an element of K-theory, as was argued by Minasian-Moore. In the presence of a nontrivial B-field but whose Dixmier-Douady class is a torsion element of H

72. K-theory And Analysis
    Durham Symposium. ktheory and analysis. The Durham Symposium on k-theory and analysis took place from 6 to 13 July 2000, with lectures running 7 - 12 July.  
    http://www.mcs.le.ac.uk/~jhunton/KTA.html
    
    Extractions: Durham Symposium K-theory and analysis 6 - 13 July 2000 The Durham Symposium on K-theory and analysis took place from 6 to 13 July 2000, with lectures running 7 - 12 July. The symposium was centred around the theme of K-theory for group C*-algebras and involved the interaction of K-theory with geometry. The overarching idea was that K-theory groups should be seen as a way of organizing certain kinds of geometric structures 'up to deformation'. The symposium represented applications of K-theory that touch upon many different areas of mathematics and drew together a wealth of mathematical ideas. The programme included K-theory for group algebras, the Novikov conjecture, cyclic homology, and dynamical systems all of which have a link to the Baum-Connes conjecture; the K-theory involved ran all the way through its topological, analytic and algebraic versions. The theme, which is developing extremely rapidly at the present time, brought together experts representing mathematical disciplines that are unified in unexpected ways by a few deep and difficult problems. A number of important and new results were announced at the conference, e.g. a proof of the Baum-Connes conjecture for adelic groups. There was also a number of expository talks aimed at postgraduate students. The small size of the Symposium allowed for a lot of informal discussion and interaction between the areas represented.

73. Fiche Document -Algebraic K-theory
    Translate this page Ouvrage - Cote 00014501 - (disponible) Algebraic k-theory Suslin, AA (Editeur) Providence RI American mathematical society 1991 faiseaux de fibres k  
    http://bibli.cirm.univ-mrs.fr/Document.htm&numrec=031997068917980

74. Fiche Document -The Classical Groups And K-theory
    http://bibli.cirm.univ-mrs.fr/Document.htm&numrec=031982535916430

75. What Is K-Theory
    What Is ktheory? k-theory is a branch of general linear algebra. Roughly speaking, k-theory is the study of additive (or abelian  
    http://www.math.usf.edu/~emohamed/K_THEORY.htm
    
    Extractions: What Is K -Theory? K -theory is a branch of general linear algebra. Roughly speaking, K -theory is the study of additive (or abelian) invariants of matrices over a ring R Here are some "basic" examples: Whether or not the rank of a free R -module is an invariant depends on the ground ring R [There are examples of rings which do not satisfy the invariant basis property (IBP): R m and R n are not isomorphic for m n Multiplication of matrices is not commutative; however, given "enough room" by identifying A with and B with , we obtain ( A basic theorem of linear algebra states that: dim (ker f ) + dim (Im f = n, where f is a morphism of K -vector spaces f K n K m An attempt to understand how this theorem may be generalized to arbitrary rings generated the notion of projective module (direct summand of free module). K -theory associates to any ring R a sequence of abelian groups K i R The Grothendieck group K o (R ) (introduced in the sixties), while formulating and proving the Riemann-Roch theorem for algebraic vector bundles, is defined by a process of analogous to the formation of the integers from the natural numbers or of the localization of a ring with respect to a multiplicative set, like the construction of rationals from to integers. This process is called group completion.

76. TUD : Vorlesungen Sommersemester 04 - TUD: Kommentar Zu: K-Theory
    Translate this page TUD Kommentar zu k-theory. zum Seitenende. Nr. k-theory, V2, Fr, 9.50-11.30, S207/109, 16.04. Kramer, 3,0, 04.125.1. Inhalt (kurze Beschreibung)  
    http://www.tu-darmstadt.de/vv/comments/04.125.tud
    
    Extractions: Die topologische K-Theorie ist eine von Atiyah und Hirzebruch entwickelte sogenannte Kohomologietheorie. Die grundlegende Idee ist, einem topologischen Raum eine algebraische Struktur - einen Ring K(X) - zuzuordnen und aus der Ringstruktur Rückschlüsse über die Topologie zu gewinnen. Eines der Ziele der Volesung wird der Beweis von Adams' wichtigem Satz über stetige Multiplikationen auf Sphären und euklidischen Räumen sein. Voraussetzungen zur Teilnahme:

77. EEVL | Mathematics Section | Browse
    Mathematics Algebra ktheory spey 1 vaich 1 This browse section has 8 records spey 1 vaich 1 3. k-theory and Homology Front for the Mathematics ArXiv.  
    http://www.eevl.ac.uk/mathematics/math-browse-page.htm?action=Class Browse&brows

78. FIM - Algebraic Cycles And Algebraic K-Theory
    Algebraic Cycles and Algebraic ktheory. Eric M. Friedlander, Northwestern University Beginning Thursday, October 30, 2003 Time Wednesday  
    http://www.fim.math.ethz.ch/activities/eth_lectures/archive/ws0304/friedlander

79. DC MetaData For:K-theory And Generalized Free Products Of S-algebras: Localizati
    Bielefeld ktheory and generalized free products of S-algebras Localization methods. MSC 2000 19D10 Algebraic $K$-theory of spaces. Abstract  
    http://www.iwi-iuk.org/material/RDF/1.1/profile/MNPreprint/ex2.rdf.html
    
    Extractions: Stable K-theory, Topological Hochschild Homology, Generalized free products, S-Algebras, Localization K-theory and generalized free products of S-Algebras: Localization methods Roland Ross E. Staffeldt Staffeldt Ross E. Friedhelm Waldhausen Waldhausen Friedhelm Diskrete Strukturen in der Mathematik, P 99, SFB 343 Bielefeld" Ross E. Staffeldt Friedhelm Waldhausen Preprint series: Diskrete Strukturen in der Mathematik, P 99, SFB 343 Bielefeld Abstract A generalized free product diagram of S-algebras is a generalization and stabilization of the diagram of group rings arising from a Seifert-van Kampen situation. Our eventual goal is to obtain a description of the algebraic K-theory of the ``large'' algebra in a generalized free product diagram in terms of the K-theories of the three smaller algebras. We first provide foundational material on generalized free product diagrams of S-algebras and associated categories of Mayer-Vietoris presentations. We show that the categories of Mayer-Vietoris presentations are categories with cofibrations, weak equivalences, and mapping cylinders. In particular, the hypotheses of the ``generic fibration theorem'' of Waldhausen ( Algebraic K-theory of spaces, Lecture Notes in Math. 1126(1985), 318-419)

80. A Pieri-Chevalley Formula In The K-theory Of A G/B-bundle
    The master copy is available at http//www.ams.org/era/. A PieriChevalley formula in the k-theory of aG/B-bundle. Harsh Pittie and Arun Ram. Abstract.  
    http://www.mpim-bonn.mpg.de/external-documentation/era-mirror/1999-01-014/1999-0
    
    Extractions: PostScript Harsh Pittie Department of Mathematics, Graduate Center, City University of New York, New York, NY 10036 Arun Ram Department of Mathematics, Princeton University, Princeton, NJ 08544 E-mail address: rama@math.princeton.edu Research supported in part by National Science Foundation grant DMS-9622985. Electronic Research Announcements of the AMS Home page

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