L2-Invariants: Theory and Applications to Geometry and K-Theory (Hardcover, 2002 ed.)

In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 44
Release date:	August 2002
First published:	2002
Authors:	Wolfgang Luck
Dimensions:	235 x 155 x 33mm (L x W x T)
Format:	Hardcover
Pages:	595
Edition:	2002 ed.
ISBN-13:	978-3-540-43566-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	3-540-43566-2
Barcode:	9783540435662

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