Representation Theory and Higher Algebraic K-Theory

By Aderemi Kuku

Book Overview

This definitive resource is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, it makes computations of higher K-theory of group rings more accessible and provides novel techniques for the computations of higher K-theory of finite and some infinite groups. The book begins with a review of classical K-theory and then examines exact, symmetric monoidal, and Waldhausen categories; profinite higher K- and G-theory of exact categories, orders, and group rings; and Farrell-Jones and Baum-Connes isomorphism conjectures.

• Format: Paperback
• Language: English
• ISBN: 0367390302
• ISBN13: 9780367390303
• Release Date: September 2019
• Publisher: CRC Press
• Length: 442 Pages
• Weight: 1.40 lbs.
• Dimensions: 1.1" x 6.1" x 9.1"