Téléchargez le livre : Isomorphism Conjectures in K- and L-Theory

Isomorphism Conjectures in K- and L-Theory

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Springer


Paru le : 2025-09-30

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Description

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.
Pages
874 pages
Collection
n.c
Parution
2025-09-30
Marque
Springer
EAN papier
9783031989759
EAN PDF
9783031989766
Informations sur l'ebook
Nombre pages copiables
8
Nombre pages imprimables
87
Taille du fichier
26532 Ko
Prix
294,34 €

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