Amenability constants for semilattice algebras

Autor: Ghandehari, Mahya, Hatami, Hamed, Spronk, Nico
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