Representation Theory and Higher Algebraic K-Theory

ISBN-13: 9780367390303 / Angielski / Miękka / 2019 / 442 str.

Aderemi Kuku

Opis

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.

Spis treści

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.

O autorze

Kuku, Aderemi