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



Author: Mahya Ghandehari (Waterloo), Hamed Hatami (Toronto), Nico Spronk (Waterloo)

Source: https://arxiv.org/







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