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Idempotent states on locally compact groups and quantum groups

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 نشر من قبل Pekka Salmi
 تاريخ النشر 2012
  مجال البحث
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 تأليف Pekka Salmi




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This is a short survey on idempotent states on locally compact groups and locally compact quantum groups. The central topic is the relationship between idempotent states, subgroups and invariant C*-subalgebras. We concentrate on recent results on locally compact quantum groups, but begin with the classical notion of idempotent probability measure. We also consider the `intermediate case of idempotent states in the Fourier--Stieltjes algebra: this is the dual case of idempotent probability measures and so an instance of idempotent states on a locally compact quantum group.



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