ENGLISH

L2-invariants: Theory and applications to geometry and K-theory

By Wolfgang Lück

Book information

Publisher
Springer
Year
2002
ISBN
3540435662, 9783540435662
Open Library ID
OL17053613M
Language
english
Format
PDF
Filesize
2 MB (2598746 bytes)
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics v. 44
Edition
1
Pages
612\612
Library
Kolxo3
Time added
2009-12-04 00:34:26

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. 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.

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