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L 2 -Invariants: Theory and Applications to Geometry and K -Theory

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Cover of 'L 2 -Invariants: Theory and Applications to Geometry and K -Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 L 2 -Betti Numbers
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    Chapter 3 Novikov-Shubin Invariants
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    Chapter 4 L 2 -Torsion
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    Chapter 5 L 2 -Invariants of 3-Manifolds
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    Chapter 6 L 2 -Invariants of Symmetric Spaces
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    Chapter 7 L 2 -Invariants for General Spaces with Group Action
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    Chapter 8 Applications to Groups
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    Chapter 9 The Algebra of Affiliated Operators
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    Chapter 10 Middle Algebraic K -Theory and L -Theory of von Neumann Algebras
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    Chapter 11 The Atiyah Conjecture
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    Chapter 12 The Singer Conjecture
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    Chapter 13 The Zero-in-the-Spectrum Conjecture
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    Chapter 14 The Approximation Conjecture and the Determinant Conjecture
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    Chapter 15 L 2 -Invariants and the Simplicial Volume
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    Chapter 16 Survey on Other Topics Related to L 2 -Invariants
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    Chapter 17 Solutions of the Exercises
Attention for Chapter 2: L 2 -Betti Numbers
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