K Theory NotesArun DebrayPDF  97 Pages  EnglishThis note covers the following topics: Vector
Bundles and Bott Periodicity, Ktheory Represented by Fredholm Operators,
Representations of Compact Lie Groups, Equivariant Ktheory.

K theory For Operator AlgebrasBruce BlackadarPDF  314 Pages  EnglishThis note will develop the
Ktheory of Banach algebras, the theory of extensions of C algebras, and the
operator Ktheory of Kasparov from scratch to its most advanced aspects. Topics
covered includes: Survey of Topological KTheory, Operator KTheory,
Preliminaries, Ktheory Of Crossed Products, Theory Of Extensions, Kasparov’s Kktheory.

Introduction To K theory and Some ApplicationsAderemi Kuku, University of
IowaPDF  141 Pages  EnglishThis book explains the following topics: Topological Ktheory, Ktheory of
C* algebras , Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1
of Orders and Grouprings, Higher Algebraic Ktheory , Higher Dimensional Class
Groups of Orders and Group rings , Higher Ktheory of Schemes, Modm Higher
Ktheory of exact Categories, Schemes and Orders, Profinite Higher Ktheory of
Exact Categories, Schemes and Orders, Equivariant Higher Ktheory Together with
Relative Generalizations, Interpretation in Terms of Grouprings.

Lectures On K theoryIoannis P. ZOISPDF  137 Pages  EnglishThis book covers the following topics:
Topological KTheory, Topological Preliminaries on Vector Bundles, Homotopy,
Bott Periodicity and Cohomological Properties, Chern Character and Chern
Classes, Analytic KTheory, Applications of Adams operations, Higher Algebraic
KTheory, Algebraic Preliminaries and the the Grothendieck
Group, The Whitehead and the Steinberg Groups.

A Geometric Introduction To K TheoryDaniel DuggerPDF  285 Pages  EnglishThis is one day
going to be a textbook on Ktheory, with a particular emphasis on connections
with geometric phenomena like intersection multiplicities.

An Introduction To K theoryEric FriedlanderPDF  78 Pages  EnglishThis note provides an
overview of various aspects of algebraic Ktheory, with the intention of making
these lectures accessible to participants with little or no prior knowledge of
the subject.

Lectures on K theory (PDF 95P)Max
KaroubiPDF  95 Pages  EnglishThis 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.

K Theory and Geometric Topology (PDF 37P)Jonathan RosenbergPDF  37 Pages  EnglishThe primary purpose of this
note is to examine many of these Ktheoretic invariants, not from a historical
point of view, but rather a posteriori, now that Ktheory is a mature subject.

Lectures on Topics in Algebraic K Theory (PDF 138P)Hyman BassPDF  138 Pages  EnglishThis
note covers the following topics: The exact
sequence of algebraic Ktheory, Categories of modules and their equivalences,
Brauer group of a commutative ring, BrauerWall group of graded Azumaya
algebras and The structure of the Clifford Functor.

Lecture Notes on Algebraic K Theory (PDF 252P)John RognesPDF  252 Pages  EnglishThis
book covers the following topics: Categories and functors, Transformations and equivalences, Universal
properties, Homotopy theory, Homotopy theory of categories, Waldhausen
Ktheory, Quillen Ktheory, Abelian and exact categories.

Handbook of K theoryNAOnline  NA Pages  EnglishThis
twovolume handbook offers a compilation of techniques and results in
Ktheory. These two volumes consist of chapters, each of which is
dedicated to a specific topic and is written by a leading expert.

Algebraic K Theory (PDF 45P)Olivier
IselyPDF  45 Pages  EnglishThis note introduces the definitions of the Ktheory groups such as The
group K0, The group K1, The group K2 and Higher Ktheory groups.

Vector Bundles and K theoryAllen
HatcherOnline  NA Pages  EnglishThis book focusing on topological Ktheory and containing
also the necessary background material on vector bundles and
characteristic classes.

An introduction to algebraic K TheoryCharles
WeibelOnline  NA Pages  EnglishThis book covers the following topics: Projective Modules and Vector Bundles, The Grothendieck group K_0, K_1 and
K_2 of a ring, higher Ktheory, The Fundamental Theorems of higher Ktheory
and the higher Ktheory of Fields.

Complex Topological K Theory 
Notes on K theory 
The K book An Introduction to Algebraic K theory 
Algebraic K theory 
K Theory and Geometric Topology 
Topological K theory and Algebraic Geometry 
Clifford Modules and Twisted K Theory 
High dimensional knot theory 