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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 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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Lecture Notes on Algebraic K Theory by John Rognes

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.

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Introduction To K theory and Some Applications

Introduction To K theory and Some Applications

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.

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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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