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

University of Haifa

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	American 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

Keywords

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

All Science Journal Classification (ASJC) codes

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.",

keywords = "46L89, Cocycle twisting, Locally compact quantum group, Primary 46L65, Quantum convolution semigroup, Rieffel deformation, Secondary 46L67",

author = "Adam Skalski and Ami Viselter",

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doi = "10.1007/s11005-024-01797-w",

language = "American English",

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AU - Skalski, Adam

AU - Viselter, Ami

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature B.V. 2024.

PY - 2024/4

Y1 - 2024/4

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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U2 - 10.1007/s11005-024-01797-w

DO - 10.1007/s11005-024-01797-w

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VL - 114

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 2

M1 - 52

ER -

Convolution semigroups on Rieffel deformations of locally compact quantum groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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