4 papers
Weak separation properties for closed subgroups of locally compact groups
Zsolt Tanko
Three separation properties for a closed subgroup of a locally compact group are studied: (1) the existence of a bounded approximate indicator for , (2) the existence of…
Cyclicity of the left regular representation of a locally compact group
Zsolt Tanko
We combine harmonic analysis and operator algebraic techniques to give a concise argument that the left regular representation of a locally compact group is cyclic if and only if t…
On the operator homology of the Fourier algebra and its -multiplier completion
Jason Crann, Zsolt Tanko
We study various operator homological properties of the Fourier algebra of a locally compact group . Establishing the converse of two results of Ruan and Xu, we show that…
Approximate indicators for closed subgroups of locally compact groups with applications to weakly amenable groups
Zsolt Tanko
We generalize the notion of an approximate indicator for a closed subgroup of a locally compact group introduced by Aristov, Runde, and Spronk and extend their characteriza…