Name: Isomorphism Conjectures in K- and L-Theory
SKU: 64788019
Price: 4461.00 ZAR
Availability: InStock
Author: Wolfgang Luck
ISBN: 9783031989759

portada Isomorphism Conjectures in K- and L-Theory

Isomorphism Conjectures in K- and L-Theory

Type

Physical Book

Publisher

Springer International Publishing AG

Author

Wolfgang Luck

Collection

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Year

2025

Pages

874

Format

Hardcover

Dimensions

23.5x15.5 cm

ISBN13

9783031989759

Isomorphism Conjectures in K- and L-Theory

Wolfgang Luck (Author) · Springer International Publishing AG · Hardcover

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Synopsis "Isomorphism Conjectures in K- and L-Theory"

This monograph is devoted to the Isomorphism Conjectures formulated by Baum and Connes, and by Farrell and Jones. These conjectures are central to the study of the topological K-theory of reduced group C*-algebras and the algebraic K- and L-theory of group rings. They have far-reaching applications in algebra, geometry, group theory, operator theory, and topology. The book provides a detailed account of the development of these conjectures, their current status, methods of proof, and their wide-ranging implications. These conjectures are not only powerful tools for concrete computations but also play a crucial role in proving other major conjectures. Among these are the Borel Conjecture on the topological rigidity of aspherical closed manifolds, the (stable) Gromov–Lawson–Rosenberg Conjecture on the existence of Riemannian metrics with positive scalar curvature on closed Spin-manifolds, Kaplansky’s Idempotent Conjecture and the related Kadison Conjecture, the Novikov Conjecture on the homotopy invariance of higher signatures, and conjectures concerning the vanishing of the reduced projective class group and the Whitehead group of torsionfree groups.