%0 eBook
%M Solr-EB000686794
%A Lück, Wolfgang
%I Springer Berlin Heidelberg
%D 2002
%C Berlin, Heidelberg
%G English
%B Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
%@ 9783662046876
%T L2-Invariants: Theory and Applications to Geometry and K-Theory
%U http://dx.doi.org/10.1007/978-3-662-04687-6?nosfx=y
%X 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