Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Representation Theory and Higher Algebraic K-Theory - Aderemi Kuku

Representation Theory and Higher Algebraic K-Theory

(Autor)

Buch | Softcover
442 Seiten
2019
Chapman & Hall/CRC (Verlag)
978-0-367-39030-3 (ISBN)
CHF 108,20 inkl. MwSt
  • Versand in 15-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
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.

Kuku, Aderemi

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.

Erscheinungsdatum
Sprache englisch
Maße 156 x 234 mm
Gewicht 453 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-367-39030-2 / 0367390302
ISBN-13 978-0-367-39030-3 / 9780367390303
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich