Mathematics Books Topology BooksK theory Books

K theory For Operator Algebras

K theory For Operator Algebras

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, Kasparovís Kk-theory.

Author(s):

s314 Pages
Similar Books
K Theory Notes

K Theory Notes

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.

s97 Pages
K theory For Operator Algebras

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, Kasparovís Kk-theory.

s314 Pages
Lectures On K theory

Lectures On K theory

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.

s137 Pages
A Geometric Introduction To K Theory

A Geometric Introduction To K Theory

This is one day going to be a textbook on K-theory, with a particular emphasis on connections with geometric phenomena like intersection multiplicities.

s285 Pages
An Introduction To K theory

An Introduction To K theory

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.

s78 Pages
K Theory and Geometric   Topology (PDF 37P)

K Theory and Geometric Topology (PDF 37P)

The primary purpose of this note is to examine many of these K-theoretic invariants, not from a historical point of view, but rather a posteriori, now that K-theory is a mature subject.

s37 Pages
Lecture Notes on Algebraic K Theory (PDF 252P)

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.

s252 Pages
Handbook of K theory

Handbook of K theory

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.

sNA Pages
Algebraic K Theory (PDF 45P)

Algebraic K Theory (PDF 45P)

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.

s45 Pages
Vector Bundles and K theory

Vector Bundles and K theory

This book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.

sNA Pages
An introduction to algebraic K Theory

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.

sNA Pages
The K book An Introduction to Algebraic K theory

The K book An Introduction to Algebraic K theory

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Algebraic K theory

Algebraic K theory

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
K Theory and Geometric Topology

K Theory and Geometric Topology

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages