Articles liés à Representation Theory and Higher Algebraic K-Theory

Representation Theory and Higher Algebraic K-Theory - Couverture rigide

Livre 15 sur 70: Chapman & Hall/CRC Pure and Applied Mathematics

Kuku, A. O.

 
9781584886037: Representation Theory and Higher Algebraic K-Theory
Couverture rigide
ISBN 10 : 158488603X ISBN 13 : 9781584886037
Editeur : Chapman and Hall/CRC, 2019

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Kuku, Aderemi

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman and Hall/CRC
Date d'édition
2019
Langue
anglais
ISBN 10 
158488603X
ISBN 13 
9781584886037
Reliure
Relié
Numéro d'édition
1
Nombre de pages
442
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

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