Representation theory and higher algebraic K theory 1st Edition by Aderemi Kuku 9781584886037 158488603X

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ISBN 10:158488603X 
ISBN 13:9781584886037
Author:Aderemi Kuku

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 grou

Representation theory and higher algebraic K theory 1stTable of contents:

Part I: Review of Classical Algebraic K-Theory and Representation Theory

Chapter 1: Category of representations and constructions of Grothendieck groups and rings

Chapter 2: Some fundamental results on K0 of exact and Abelian categories – with applications to o

Chapter 3: K1, K2 of orders and grouprings

Chapter 4: Some exact sequences; negative K-theory

Part II: Higher Algebraic K-Theory and Integral Representations

Chapter 5: Higher Algebraic K-theory – definitions, constructions, and relevant examples

Chapter 6: Some fundamental results and exact sequences in higher K-theory

Chapter 7: Some results on higher K-theory of orders, grouprings, and modules over ‘EI’ categori

Chapter 8: Mod-m and profinite higher K-theory of exact categories, orders, and groupings

Part III: Mackey Functors, Equivariant Higher Algebraic K-Theory, and Equivariant Homology Theories

Chapter 9: Mackey, Green, and Burnside functors

Chapter 10: Equivariant higher algebraic K-theory together with relative generalizations – for fin

Chapter 11: Equivariant higher K-theory for profinite group actions

Chapter 12: Equivariant higher K-theory for compact Lie group actions

Chapter 13: Equivariant higher K-theory for Waldhausen categories

Chapter 14: Equivariant homology theories and higher K-theory of grouprings

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