On zero-dimensionality of subgroups of locally compact groups
Improving the recent result of the author we show that is equivalent to for every subgroup of a Hausdorff locally compact group .
One Parameter Subgroups and Nonstandard Analysis.
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.
Quasinormalität in topologischen Gruppen.
Regularly related lattices in locally compact groups.
Remarks on locally compact group extensions.
Semigroups and Hilbert's fifth problem
Some Remarks on L1(G).
Sottogruppi topologicamente quasi-normali dei gruppi localmente compatti
Specker-Kompaktifizierungen von lokal kompakten topologischen Gruppen.
Subgroups of -factorizable groups
The properties of -factorizable groups and their subgroups are studied. We show that a locally compact group is -factorizable if and only if is -compact. It is proved that a subgroup of an -factorizable group is -factorizable if and only if is -embedded in . Therefore, a subgroup of an -factorizable group need not be -factorizable, and we present a method for constructing non--factorizable dense subgroups of a special class of -factorizable groups. Finally, we construct a closed...
Supplements to the papers entitled "On a theorem of S. Banach" and "The separable representations of U(H)".
Sur la norme des opérateurs de convolution.
Sur la structure locale des groupes abéliens localement compacts