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CRC Press Representation Theory and Higher Algebraic K-Theory: 287 (Monographs and Textbooks in Pure and Applied Mathematics)

Name: Representation Theory and Higher Algebraic K-Theory: 287 (Monographs and Textbooks in Pure and Applied Mathematics)
Brand: CRC Press

Algebra

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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.

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Brand: CRC Press
Format: hardcover
ASIN: 158488603X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 27 September 2019
Listed Since: 23 December 2006

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CRC Press Representation Theory and Higher Algebraic K-Theory: 287 (Monographs and Textbooks in Pure and Applied Mathematics)

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