L²-invariants: theory and applications to geometry and K-theory
Wolfgang Lück
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 his favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material.
Categorie:
Anno:
2002
Edizione:
1
Casa editrice:
Springer
Lingua:
english
Pagine:
612
ISBN 10:
3540435662
ISBN 13:
9783540435662
Collana:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
File:
PDF, 3.84 MB
IPFS:
,
english, 2002
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