Ergodic Theoretic Methods in Group Homology

Clara Löh is Professor of Mathematics at the University of Regensburg, Germany. Her research focuses on simplicial volume and the interaction between geometric topology, geometric group theory, and measured group theory. This includes cohomological, geometric, and combinatorial methods.

• 0 Introduction.- 1 The von Neumann dimension.- 2 L2-Betti numbers.- 3 The residually finite view: Approximation.- 4 The dynamical view: Measured group theory.- 5 Invariant random subgroups.- 6 Simplicial volume.- A Quick reference.- Bibliography.- Symbols.- Index.

“This is an attractive brisk introduction to the field, and will be a useful entry point to what is now a large and active field.” (Thomas B. Ward, zbMATH 1444.37001, 2020)