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L2-invariants: v. 44 : Theory and Applications to Geometry and K-theory download

L2-invariants: v. 44 : Theory and Applications to Geometry and K-theory download

L2-invariants: v. 44 : Theory and Applications to Geometry and K-theory by Hans S Burchard
L2-invariants: v. 44 : Theory and Applications to Geometry and K-theory
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Author: Hans S Burchard
Page Count: 610 pages
Published Date: 01 Sep 2002
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
ISBN: 9783540435662
File size: 42 Mb
Download Link: L2-invariants v. 44 Theory and Applications to Geometry and K-theory
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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. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

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