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math.OA2006★ 6 cited
-algebras of inverse semigroups: amenability and weak containment
David Milan
We argue that weak containment is an appropriate notion of amenability for inverse semigroups. Given an inverse semigroup and a homomorphism of onto a group , we sho…
math.OA2004
Absolutely Continuous Representations and a Kaplansky Density Theorem for Free Semigroup Algebras
Kenneth R. Davidson, Jiankui Li, David R. Pitts
We introduce notions of absolutely continuous functionals and representations on the non-commutative disk algebra . Absolutely continuous functionals are used to help identify…