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L2-Invariants: Theory and Applications to Geometry and K-Theory
Wolfgang Lück
出版Springer Science & Business Media, 2002-08-06
主題Mathematics / TopologyMathematics / Geometry / GeneralMathematics / Algebra / Abstract
ISBN35404356629783540435662
URLhttp://books.google.com.hk/books?id=pGFbu3cPAiEC&hl=&source=gbs_api
EBookSAMPLE
註釋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.