L2-Invariants: Theory and Applications to Geometry and K-Theory
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 L 2-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 L 2-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.
| Autor: | Lück, Wolfgang |
|---|---|
| ISBN: | 9783642078101 |
| Sprache: | Englisch |
| Seitenzahl: | 595 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 16.11.2010 |
| Schlagworte: | Algebraic K-theory Algebraic topology Area K-Theory L2-Invariants Volume topology |
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