ENGLISH

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

By Wolfgang Lück

Book information

Publisher
Springer
Year
2004
ISBN
3642078109, 9783642078101
Language
english
Format
PDF
Filesize
4 MB (4360418 bytes)
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Edition
Reprint
Pages
608\608
Time added
2013-04-15 14:05:04

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. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

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