Convolution semigroups on Rieffel deformations of locally compact quantum groups

Adam Skalski; Ami Viselter

doi:10.1007/s11005-024-01797-w

Convolution semigroups on Rieffel deformations of locally compact quantum groups

Adam Skalski, Ami Viselter

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 G^Ψ and establish a canonical correspondence between Γ-invariant convolution semigroups of states on G and on G^Ψ.

Original language	English
Article number	52
Journal	Letters in Mathematical Physics
Volume	114
Issue number	2
DOIs	https://doi.org/10.1007/s11005-024-01797-w
State	Published - Apr 2024

Bibliographical note

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

Keywords

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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10.1007/s11005-024-01797-w

Cite this

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abstract = "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.",

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author = "Adam Skalski and Ami Viselter",

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AU - Viselter, Ami

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PY - 2024/4

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N2 - 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.

AB - 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.

KW - 46L89

KW - Cocycle twisting

KW - Locally compact quantum group

KW - Primary 46L65

KW - Quantum convolution semigroup

KW - Rieffel deformation

KW - Secondary 46L67

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ER -

Convolution semigroups on Rieffel deformations of locally compact quantum groups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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