Representation theory and higher algebraic K-theory / Aderemi Kuku.

Format:

Book

Author/Creator:

Kuku, A. O. (Aderemi O.)

Contributor:

Alumni and Friends Memorial Book Fund.

Series:

Monographs and textbooks in pure and applied mathematics ; 287.

Monographs and textbooks in pure and applied mathematics ; 287

Language:

English

Subjects (All):

K-theory.

Representations of categories.

Representations of groups.

Physical Description:

xxv, 442 pages ; 25 cm.

Place of Publication:

Boca Raton, FL : Chapman & Hall/CRC, [2007]

Summary:

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.

Notes:

Includes bibliographical references (pages 423-436) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

158488603X

OCLC:

71348752

Publisher Number:

9781584886037

Online:

Publisher description