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

From Wolfgang Lück

Book Informations

  • Released: 2013-03-09
  • Pages: 595
  • Language: en
  • ISBN-10:3662046873
  • ISBN-13:9783662046876

Beschreibung

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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