Convolution semigroups on Rieffel deformations of locally compact quantum groups

Adam Skalski, Ami Viselter

Research output: Contribution to journalArticlepeer-review


Consider a locally compact quantum group G with a closed classical abelian subgroup Γ equipped with a 2-cocycle Ψ:Γ^×Γ^→C. We study in detail the associated Rieffel deformation GΨ and establish a canonical correspondence between Γ-invariant convolution semigroups of states on G and on GΨ.

Original languageEnglish
Article number52
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Apr 2024

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2024.


  • 46L89
  • Cocycle twisting
  • Locally compact quantum group
  • Primary 46L65
  • Quantum convolution semigroup
  • Rieffel deformation
  • Secondary 46L67

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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