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Representation Theory and Higher Algebraic K-Theory

Representation Theory and Higher Algebraic K-Theory

Hardcover

Series: Monographs and Textbooks in Pure and Applied Mathematics, Book 287

AlgebraGeneral MathematicsGeometry

ISBN10: 158488603X
ISBN13: 9781584886037
Publisher: CRC Press
Published: Sep 27 2006
Pages: 470
Weight: 1.74
Height: 1.18 Width: 6.36 Depth: 9.52
Language: English
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.

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