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Lecture Notes for Algebraic and Hermitian K Theory

Lecture Notes for Algebraic and Hermitian K Theory

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.

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s257 Pages
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Lecture Notes for Algebraic and Hermitian K Theory

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.

s257 Pages
Lecture Notes On The K theory Of Operator Algebras

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.

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Lectures on Algebraic K theory by J.F. Jardine

Lectures on Algebraic K theory by J.F. Jardine

This note covers the following topics: Some homotopy theory, Exact categories, Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity, The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category localization, Coherent sheaves and open subschemes, Product formulas, K-theory with finite coefficients, Homology, K-theory of graded rings, Homotopy property, Rigidity, K-theory of finite fields.

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A Geometric Introduction To K Theory

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.

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