Logo

Algebraic K-Theory by Olivier Isely

Small book cover: Algebraic K-Theory

Algebraic K-Theory
by

Publisher: EPFL
Number of pages: 45

Description:
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. In this document, I will briefly introduce the definitions of the K-theory groups.

Download or read it online for free here:
Download link
(270KB, PDF)

Similar books

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.
(9004 views)
Book cover: The K-book: An introduction to algebraic K-theoryThe K-book: An introduction to algebraic K-theory
by - Rutgers
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.
(11691 views)
Book cover: An Introduction to K-theory and Cyclic CohomologyAn Introduction to K-theory and Cyclic Cohomology
by - arXiv
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.
(9850 views)
Book cover: 18 Lectures on K-Theory18 Lectures on K-Theory
by - arXiv
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.
(9289 views)