Abstract
SynopsisWe investigate algebras associated with a (discrete) Clifford semigroupS =∪{Ge: e ∈ E{. We show that the representation theory forSis determined by an enveloping Clifford semigroupUC(S) =∪{Gx: x ∈ X} whereXis the filter completion of the semilatticeE.We describe the representation theory in terms of both disintegration theory and sheaf theory.
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