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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
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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