Home » L2-Invariants: Theory and Applications to Geometry and K-Theory by Hans S. Burchard
L2-Invariants: Theory and Applications to Geometry and K-Theory Hans S. Burchard

L2-Invariants: Theory and Applications to Geometry and K-Theory

Hans S. Burchard

Published August 6th 2002
ISBN : 9783540435662
Hardcover
595 pages
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 About the Book 

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 toMoreIn 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.