71 citations · 296 across the 20 of their papers we have counts for
22 papers
Kohn--Nirenberg quantization of the affine group and related examples
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
We show how to construct unitary dual -cocycles for a class of semidirect products that exhibit many similarities with the affine group ${\rm Aff}(V)=\GL(V)\ltimes V$ of a finit…
Quantization of locally compact groups associated with essentially bijective -cocycles
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
Given an extension of locally compact groups, with abelian, and a compatible essentially bijective -cocycle , we define a dual uni…
From projective representations to pentagonal cohomology via quantization
Victor Gayral, Valentin Marie
Given a locally compact group such that is Abelian and such that the action of on the Pontryagin dual has a free orbit of full measure, we construct…
Quantization of subgroups of the affine group
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
Consider a locally compact group such that is abelian and the action of on the dual abelian group has a free orbit of full measure. We show that suc…
Quantum Kählerian Lie groups from multiplicative unitaries
P. Bieliavsky, Ph. Bonneau, F. D'Andrea +1
We show that the deformation theory of Fréchet algebras for actions of Kählerian Lie groups developed by two of us, leads in a natural way to examples of non-compact locally compac…
On deformations of C*-algebras by actions of Kahlerian Lie groups
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev +1
We show that two approaches to equivariant strict deformation quantization of C*-algebras by actions of negatively curved Kahlerian Lie groups, one based on oscillatory integrals a…