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 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 un...