Ergodic Theoretic Methods in Group Homology
Clara Löh
Broschiertes Buch

Ergodic Theoretic Methods in Group Homology

A Minicourse on L2-Betti Numbers in Group Theory

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This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers.Group homology integrates group actions into homological structure. Coefficients based on probability measure preserving actions combine ergodic theory and homology. An example of such an interaction is provided by L2-Betti numbers: these invariants can be understood in terms of group homology with coefficients related to the group von Neumann algebra, via approximation by finite index subgroups, or via dynamical systems. In this way, L2-Betti numbers lea...