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

This lecture note covers the following topics: beginning of K theory,
K theory of Banach algebras, Applications of topological Ktheory, The Atiyah-
Singer index theorem, Algebraic K theory of Bass and Milnor applications,
Higher Algebraic K theory, Hermitian K theory, Cyclic homology and K theory.

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
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.