Ergodic Theoretic Methods in Group Homology

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L 2-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 L 2-Betti numbers: these invariants can be understood in terms of group homology with coefficients related to the group von Neumann algebra, v