Kawada-It\^o-Kelley Theorem for Quantum Semigroups
Operator Algebras
2019-05-29 v1 Functional Analysis
Quantum Algebra
Abstract
Idempotent states on locally compact quantum semigroups with weak cancellation properties are shown to be Haar states on a certain sub-object described by an operator system with comultiplication. We also give a characterization of the situation when this sub-object is actually a compact quantum subgroup. In particular we reproduce classical results on idempotent probability measures on locally compact semigroups with cancellation.
Cite
@article{arxiv.1905.11726,
title = {Kawada-It\^o-Kelley Theorem for Quantum Semigroups},
author = {Paweł Kasprzak and Fatemeh Khosravi and Piotr M. Sołtan},
journal= {arXiv preprint arXiv:1905.11726},
year = {2019}
}
Comments
12 pages