Representation Theory and Higher Algebraic K-Theory

Informationen zum Autor Kuku, Aderemi Klappentext 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. Zusammenfassung Presents higher algebraic K-theory of orders and group rings as well as characterizes higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. This book provides novel techniques for the computations of higher K-theory of finite and some infinite groups. Inhaltsverzeichnis Review of Classical Algebraic K-Theory and Representation Theory. Higher Algebraic K-Theory and Integral Representations. Mackey Functors, Equivariant Higher Algebraic K-Theory, and Equivariant Homology Theories.

Product details

• Authors: Aderemi Kuku, Aderemi (International Centre for Theoretica Kuku, Kuku Aderemi
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 27.09.2006
• EAN: 9781584886037
• ISBN: 978-1-58488-603-7
• No. of pages: 470
• Series: Chapman & Hall/CRC Pure and Applied Mathematics; Monographs and Textbooks in Pu; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; MATHEMATICS / General, Mathematics