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

Publisher: Springer Berlin Heidelberg Release date: 2013-03-09

Description

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.

Hide/show more

Additional Information

Genre: Analytic geometry

Collection: Springer

Type: Adobe PDF

ISBN: 9783662046876

Additional Information

Genre: Analytic geometry

Collection: Springer

Type: Adobe PDF

ISBN: 9783662046876

Other ebooks releases by Wolfgang Luck
Loading... Please wait