Browsing ODA Open Digital Archive by Author "Bieliavsky, Pierre"

Now showing items 1-3 of 3

    • On deformations of C*-algebras by actions of Kahlerian Lie groups 

      Tuset, Lars; Gayral, Victor; Bieliavsky, Pierre; Neshveyev, Sergey (Journal article; Peer reviewed, 2016)
      We show that two approaches to equivariant strict deformation quantization of C∗-algebras by actions of negatively curved Kählerian Lie groups, one based on oscillatory integrals and the other on quantizations maps defined ...

    • Quantization of locally compact groups associated with essentially bijective 1-cocycles 

      Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars (Peer reviewed; Journal article, 2024)
      Given an extension 0 → V → G → Q → 1 of locally compact groups, with V abelian, and a compatible essentially bijective 1-cocycle η : Q → Vˆ , we define a dual unitary 2-cocycle on G and show that the associated deformation ...

    • Quantization of subgroups of the affine group 

      Tuset, Lars; Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey (Journal of Functional Analysis;Volume 280, Issue 4, 108844, Journal article; Peer reviewed, 2021-02-15)
      Consider a locally compact group such that V is abelian and the action of Q on the dual abelian group has a free orbit of full measure. We show that such a group G can be quantized in three equivalent ways: (1) by ...