## e-books in K-theory category

**Algebraic K-Theory**

by

**Hyman Bass**-

**W. A. Benjamin**,

**1968**

The algebraic K-theory presented here is concerned with the structure theory of projective modules, and of their automorphism groups. Thus, it is a generalization off the theorem asserting the existence and uniqueness of bases for vector spaces ...

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**3238**views)

**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.

(

**3866**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.

(

**5131**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.

(

**5202**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.

(

**7789**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.

(

**5895**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.

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**7906**views)