Amenability constants for semilattice algebras
Autor: | Ghandehari, Mahya, Hatami, Hamed, Spronk, Nico |
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Rok vydání: | 2007 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 18 pages. Results generalised to non-unital semilattices. Some errors corrected |
Databáze: | arXiv |
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