K Theory NotesArun DebrayPDF
| 97 Pages
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.
K theory For Operator AlgebrasBruce BlackadarPDF
| 314 Pages
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.
Introduction To K theory and Some ApplicationsAderemi Kuku, University of
| 141 Pages
This book explains the following topics: Topological K-theory, K-theory of
C* algebras , Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1
of Orders and Group-rings, Higher Algebraic K-theory , Higher Dimensional Class
Groups of Orders and Group rings , Higher K-theory of Schemes, Mod-m Higher
K-theory of exact Categories, Schemes and Orders, Profinite Higher K-theory of
Exact Categories, Schemes and Orders, Equivariant Higher K-theory Together with
Relative Generalizations, Interpretation in Terms of Group-rings.
Lectures On K theoryIoannis P. ZOISPDF
| 137 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.
A Geometric Introduction To K TheoryDaniel DuggerPDF
| 285 Pages
This is one day
going to be a textbook on K-theory, with a particular emphasis on connections
with geometric phenomena like intersection multiplicities.
An Introduction To K theoryEric FriedlanderPDF
| 78 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
Lectures on K theory (PDF 95P)Max
| 95 Pages
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.
K Theory and Geometric Topology (PDF 37P)Jonathan RosenbergPDF
| 37 Pages
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.
Lectures on Topics in Algebraic K Theory (PDF 138P)Hyman BassPDF
| 138 Pages
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.
Lecture Notes on Algebraic K Theory (PDF 252P)John RognesPDF
| 252 Pages
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.
Handbook of K theoryNAOnline
| NA Pages
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.
Algebraic K Theory (PDF 45P)Olivier
| 45 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.
Vector Bundles and K theoryAllen
| NA Pages
This book focusing on topological K-theory and containing
also the necessary background material on vector bundles and
An introduction to algebraic K TheoryCharles
| NA Pages
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.
|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|