26 citations · 92 across the 13 of their papers we have counts for
12 papers · 1 filter
Amenability of locally compact quantum groups via the long-time behavior of convolution semigroups
Ami Viselter
We establish a simple characterization of amenability of second countable locally compact quantum groups in terms of the long-time behavior of convolution semigroups o…
Convolution semigroups on Rieffel deformations of locally compact quantum groups
Adam Skalski, Ami Viselter
Consider a locally compact quantum group with a closed classical abelian subgroup equipped with a -cocycle . We study in detail…
Actions, quotients and lattices of locally compact quantum groups
Michael Brannan, Alexandru Chirvasitu, Ami Viselter
We prove a number of property (T) permanence results for locally compact quantum groups under exact sequences and the presence of invariant states, analogous to their classical ver…
Generating functionals for locally compact quantum groups
Adam Skalski, Ami Viselter
Every symmetric generating functional of a convolution semigroup of states on a locally compact quantum group is shown to admit a dense unital -subalgebra with core-like propert…
Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms
Adam Skalski, Ami Viselter
The subject of this paper is the study of convolution semigroups of states on a locally compact quantum group, generalising classical families of distributions of a Lévy process on…
Amenability of locally compact quantum groups and their unitary co-representations
Chi-Keung Ng, Ami Viselter
We prove that amenability of a unitary co-representation of a locally compact quantum group passes to unitary co-representations that weakly contain . This generalizes a res…
Weak mixing for locally compact quantum groups
Ami Viselter
We generalize the notion of weakly mixing unitary representations to locally compact quantum groups, introducing suitable extensions of all standard characterizations of weak mixin…
On positive definiteness over locally compact quantum groups
Volker Runde, Ami Viselter
The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-…
Ergodic theory for quantum semigroups
Volker Runde, Ami Viselter
Recent results of L. Zsido, based on his previous work with C. P. Niculescu and A. Stroh, on actions of topological semigroups on von Neumann algebras, give a Jacobs-de Leeuw-Glick…
A note on amenability of locally compact quantum groups
Piotr M. Sołtan, Ami Viselter
In this short note we introduce a notion called "quantum injectivity" of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. Particularly, t…
Cuntz-Pimsner algebras for subproduct systems
Ami Viselter
In this paper we generalize the notion of Cuntz-Pimsner algebras of -correspondences to the setting of subproduct systems. The construction is justified in several ways, inclu…
Covariant representations of subproduct systems
Ami Viselter
A celebrated theorem of Pimsner states that a covariant representation of a -correspondence extends to a -representation of the Toeplitz algebra of if and onl…