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SUMMARY:Fatemeh Khosravi (Seoul National University\, South Korea)
DTSTART:20221129T100000Z
DTEND:20221129T110000Z
DTSTAMP:20260422T175649Z
UID:QGS/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/72/">Co-
 amenable quantum homogeneous spaces of compact Kac quantum groups</a>\nby 
 Fatemeh Khosravi (Seoul National University\, South Korea) as part of Quan
 tum Groups Seminar [QGS]\n\n\nAbstract\nGiven a locally compact group G\, 
 Leptin's theorem states that G is amenable if and only if the Fourier alge
 bra A(G) admits a bounded approximate identity\, where the latter property
  is known as co-amenability of the quantum dual of G. In the quantum setti
 ng\, this characterization is known as the duality between amenability and
  co-amenability. It is proved that a discrete quantum group is amenable if
  and only if its dual compact quantum group is co-amenable. The definition
  of co-amenability for quantum homogeneous spaces is given by Kalantar-Kas
 przak-Skalski-Vergnioux. Furthermore\, they ask whether the co-amenability
  of a quantum homogeneous space is equivalent to the (relative) amenabilit
 y of its co-dual. In this talk\, we will answer this question for quantum 
 homogeneous spaces of compact Kac quantum groups under a mild assumption. 
 Based on joint work with Mehrdad Kalantar.\n
LOCATION:https://researchseminars.org/talk/QGS/72/
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