Click Here to Download: https://ouo.io/2zBX6e Representation Theory and Higher Algebraic K-Theory By: Aderemi Kuku Publisher: Chapman and Hall/CRC Print ISBN: 9781584886037, 158488603X eText ISBN: 9781420011128, 142001112X Edition: 1st Copyright year: 2006 Format: PDF Available from $ 23.18 USD SKU 9781420011128R90 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. Additional ISBNs 9786610733774, 9781280733772, 6610733775, 1280733772
