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Amenability constants for semilattice algebras

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 نشر من قبل Nico Spronk
 تاريخ النشر 2007
  مجال البحث
والبحث باللغة English
 تأليف Mahya Ghandehari




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For any finite unital commutative idempotent semigroup S, a unital semilattice, we show how to compute the amenability constant of its semigroup algebra l^1(S), which is always of the form 4n+1. We then show that these give lower bounds to amenability constants of certain Banach algebras graded over semilattices. We show that there is no commutative semilattice with amenability constant between 5 and 9.



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