Logo

An Introduction to K-theory and Cyclic Cohomology

Small book cover: An Introduction to K-theory and Cyclic Cohomology

An Introduction to K-theory and Cyclic Cohomology
by

Publisher: arXiv
Number of pages: 115

Description:
These lecture notes contain an exposition of basic ideas of K-theory and cyclic cohomology. I begin with a list of examples of various situations in which the K-functor of Grothendieck appears naturally, including the rudiments of the topological and algebraic K-theory, K-theory of C*-algebras, and K-homology.

Home page url

Download or read it online for free here:
Download link
(790KB, PDF)

Similar books

Book cover: An Introduction to K-theoryAn Introduction to K-theory
by
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.
(11717 views)
Book cover: Algebraic K-TheoryAlgebraic K-Theory
by - W. A. Benjamin
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 ...
(7608 views)
Book cover: Algebraic K-TheoryAlgebraic K-Theory
by - EPFL
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.
(7584 views)
Book cover: Lectures on Topics in Algebraic K-TheoryLectures on Topics in Algebraic K-Theory
by - Tata Institute of Fundamental Research
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.
(9296 views)