Lecture Notes On The K theory Of Operator Algebras

Lecture Notes for Algebraic and Hermitian K Theory

This note covers the following topics: Recollections and preliminaries, Symmetric monoidal and stable categories, The group completion theorem and the K theory of finite fields, The K theory of stable categories.

Author(s): Fabian Hebestreit, University of Bonn

257 Pages

Lecture Notes On The K theory Of Operator Algebras

This lecture note covers the following topics:Projections and Unitaries, The K0-Group for Unital C -Algebras, K1-Functor and the Index Map, Bott Periodicity and the Exact Sequence of K-Theory, Tools for the computation of K-groups.

Author(s): Rainer Matthes and Wojciech Szymansk

92 Pages

Lecture Notes on Algebraic K Theory by John Rognes

This note explains the following topics: Categories and functors, Transformations and equivalences, Universal properties, Homotopy theory, Simplicial methods, Homotopy theory of categories, Waldhausen K-theory, Abelian and exact categories, Quillen K-theory.

Author(s): John Rognes

252 Pages

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.

Author(s): Daniel Dugger

285 Pages