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

Released on by Wolfgang Lück
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  • L2-Invariants: Theory and Applications to Geometry and K-Theory Book Detail

  • Author : Wolfgang Lück
  • Release Date : 2013-03-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 604
  • ISBN 13 : 3662046873
  • File Size : 17,17 MB
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L2-Invariants: Theory and Applications to Geometry and K-Theory by Wolfgang Lück PDF Summary

Book 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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