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This note covers the following topics: Vector Bundles and Bott Periodicity, K-theory Represented by Fredholm Operators, Representations of Compact Lie Groups, Equivariant K-theory.
Author(s): Arun Debray
97 Pages
K theory For Operator Algebras
This note will develop the K-theory of Banach algebras, the theory of extensions of C algebras, and the operator K-theory of Kasparov from scratch to its most advanced aspects. Topics covered includes: Survey of Topological K-Theory, Operator K-Theory, Preliminaries, K-theory Of Crossed Products, Theory Of Extensions, Kasparov’s Kk-theory.
Author(s): Bruce Blackadar
314 Pages
This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the Grothendieck Group, The Whitehead and the Steinberg Groups.
Author(s): Ioannis P. ZOIS
137 Pages
This note provides an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible to participants with little or no prior knowledge of the subject.
Author(s): Eric Friedlander
78 Pages
Lectures on Topics in Algebraic K Theory (PDF 138P)
This note covers the following topics: The exact sequence of algebraic K-theory, Categories of modules and their equivalences, Brauer group of a commutative ring, Brauer-Wall group of graded Azumaya algebras and The structure of the Clifford Functor.
Author(s): Hyman Bass
138 Pages
Lecture Notes on Algebraic K Theory (PDF 252P)
This book covers the following topics: Categories and functors, Transformations and equivalences, Universal properties, Homotopy theory, Homotopy theory of categories, Waldhausen K-theory, Quillen K-theory, Abelian and exact categories.
Author(s): John Rognes
252 Pages
This two-volume handbook offers a compilation of techniques and results in K-theory. These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert.
Author(s): NA
NA Pages
This note introduces the definitions of the K-theory groups such as The group K0, The group K1, The group K2 and Higher K-theory groups.
Author(s): Olivier Isely
45 Pages
This book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.
Author(s): Allen Hatcher
NA Pages
An introduction to algebraic K Theory
This book covers the following topics: Projective Modules and Vector Bundles, The Grothendieck group K_0, K_1 and K_2 of a ring, higher K-theory, The Fundamental Theorems of higher K-theory and the higher K-theory of Fields.
Author(s): Charles Weibel
NA Pages
The K book An Introduction to Algebraic K theory
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Clifford Modules and Twisted K Theory
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA PagesAdvertisement
