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

L2-Invariants: Theory and Applications to Geometry and K-Theory
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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-compac, L2-Invariants: Theory and Applications to Geometry and K-Theory
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  • L2-Invariants: Theory and Applications to Geometry and K-Theory
  • Written by author Wolfgang Luck
  • Published by Springer-Verlag New York, LLC, 11/19/2010
  • 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-compac
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Book Categories

Authors

Introduction.- L2-Betti Numbers.- Novikov-Shubin Invariants.- L2-Torsion.- L2-Invariants of 3-Manifolds.- L2-Invariants of Symmetric Spaces.- L2-Invariants for General Spaces with Group Action.- Applications to Groups.- The Algebra of Affiliated Operators.- Middle Algebraic K-Theory and L-Theory of von Neumann Algebras.- The Atiyah Conjecture.- The Singer Conjecture.- The Zero-in-the-Spectrum Conjecture.- The Approximation Conjecture and the Determinant Conjecture.- L2-Invariants and the Simplicial Volume.- Survey on Other Topics Related to L2-Invariants.- Solutions of the Exercises.- References.- Notation.- Index.


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

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

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

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

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

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