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# K-theory

E-Books for free online viewing and/or download

## e-books in this category

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**Algebraic K-Theory**

by **Olivier Isely** - **EPFL** , **2006**

Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring A instead of over a field. Algebraic K-theory plays an important role in many subjects, especially number theory, algebraic topology and algebraic geometry.

(**916** views)

**18 Lectures on K-Theory**

by **Ioannis P. Zois** - **arXiv** , **2010**

We present introductory lectures on K-Theory covering its basic three branches, namely topological, analytic and Higher Algebraic K-Theory. The skeleton of these notes was provided by the author's notes from a graduate summer school on K-Theory.

(**1005** views)

**Lectures on Topics in Algebraic K-Theory**

by **Hyman Bass** - **Tata Institute of Fundamental Research** , **1967**

Topics: The exact sequence of algebraic K-theory; Categories of modules and their equivalences; The Brauer group of a commutative ring; The Brauer-Wall group of graded Azumaya algebras; The structure of the Clifford Functor.

(**1609** views)

**An Introduction to K-theory**

by **Eric M. Friedlander** , **2007**

The author's objective was to provide participants of the Algebraic K-theory Summer School an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible with little or no prior knowledge of the subject.

(**2899** views)

**An Introduction to K-theory and Cyclic Cohomology**

by **Jacek Brodzki** - **arXiv** , **1996**

An exposition of K-theory and cyclic cohomology. It begins with examples of various situations in which the K-functor of Grothendieck appears naturally, including the topological and algebraic K-theory, K-theory of C*-algebras, and K-homology.

(**2707** views)

**The K-book: An introduction to algebraic K-theory**

by **Charles Weibel** - **Rutgers** , **2010**

Algebraic K-theory is an important part of homological algebra. Contents: Projective Modules and Vector Bundles; The Grothendieck group K_0; K_1 and K_2 of a ring; Definitions of higher K-theory; The Fundamental Theorems of higher K-theory.

(**3211** views)

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