Representation Theory and Higher Algebraic K-Theory
Autor Aderemi Kukuen Limba Engleză Paperback – 5 sep 2019
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.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 368.14 lei 6-8 săpt. | |
CRC Press – 5 sep 2019 | 368.14 lei 6-8 săpt. | |
Hardback (1) | 987.28 lei 6-8 săpt. | |
CRC Press – 27 sep 2006 | 987.28 lei 6-8 săpt. |
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Specificații
ISBN-13: 9780367390303
ISBN-10: 0367390302
Pagini: 442
Dimensiuni: 156 x 234 x 28 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
ISBN-10: 0367390302
Pagini: 442
Dimensiuni: 156 x 234 x 28 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Public țintă
Professional Practice & DevelopmentCuprins
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.
Descriere
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.