Representation Theory and Higher Algebraic K-Theory
Chapman and Hall/CRC
ISBN13:
9780367390303
$90.74
Representation Theory and Higher Algebraic K-Theory 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, this book 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. Authored by a premier authority in the field, the book begins with a careful review of classical K-theory, including clear definitions, examples, and important classical results. Emphasizing the practical value of the usually abstract topological constructions, the author systematically discusses higher algebraic K-theory of exact, symmetric monoidal, and Waldhausen categories with applications to orders and group rings and proves numerous results. He also defines profinite higher K- and G-theory of exact categories, orders, and group rings. Providing new insights into classical results and opening avenues for further applications, the book then uses representation-theoretic techniques-especially induction theory-to examine equivariant higher algebraic K-theory, their relative generalizations, and equivariant homology theories for discrete group actions. The final chapter unifies Farrell and Baum-Connes isomorphism conjectures through Davis-Lück assembly maps.
- | Author: Aderemi Kuku
- | Publisher: Chapman And Hall/Crc
- | Publication Date: Sep 05, 2019
- | Number of Pages: 442 pages
- | Language: English
- | Binding: Paperback
- | ISBN-10: 0367390302
- | ISBN-13: 9780367390303
- Author:
- Aderemi Kuku
- Publisher:
- Chapman And Hall/Crc
- Publication Date:
- Sep 05, 2019
- Number of pages:
- 442 pages
- Language:
- English
- Binding:
- Paperback
- ISBN-10:
- 0367390302
- ISBN-13:
- 9780367390303