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Sauer, Roman: L²-Invariants of groups and discrete measured groupoids. 2002
Inhalt
Introduction
Notations and Conventions
Discrete Measured Groupoids
Definition and Examples
Groupoid Rings
The von Neumann Algebra of a Discrete Measured Groupoid
Geometric and Measurable Group Theory
Quasi-Isometry
Measure Equivalence
Quasi-Isometry versus Measure Equivalence
Lbold0mu mumu 22cohn(1980)2222-Betti Numbers
Dimension Theory
Homological Algebra for Finite von Neumann Algebras
L2-Betti Numbers of Discrete Measured Groupoids
Novikov-Shubin Invariants
Introduction to Capacity Theory
Invariance under Quasi-Isometry
The Rationality Conjecture for Novikov-Shubin Invariants
Power Series in Noncommuting Variables
Rationality and Positivity for Free Groups