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.

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.

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.

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.

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

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.

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.

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.

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.

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.