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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 15895
   School of Mathematics
  Title: Kawada-Ito-Kelley theorem for quantum semigroups
  Author(s): Fatemeh Khosravi (Joint with P. Kasprzak and P. M. Soltan)
  Status: Published
  Journal: J. Math. Anal. Appl.
  Year: 2019
  Pages: DOI: 10.1016/j.jmaa.2019.123594
  Supported by: IPM
  Abstract:
dempotent 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.

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