Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Permutation models and topological groups
Polythethische Gruppen und ihre Automorphismengruppen.
Products of locally compact groups with zero and their actions.
Projective Lie Algebra Bases of a Locally Compact Group and Uniform Differentiability.
Proper cocycles and weak forms of amenability
Let G and H be locally compact, second countable groups. Assume that G acts in a measure class preserving way on a standard space (X,μ) such that has an invariant mean and that there is a Borel cocycle α: G × X → H which is proper in the sense of Jolissaint (2000) and Knudby (2014). We show that if H has one of the three properties: Haagerup property (a-T-menability), weak amenability or weak Haagerup property, then so does G. In particular, we show that if Γ and Δ are measure equivalent discrete...
Properties of centered random walks on locally compact groups and Lie groups.