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- W2400342460 abstract "Motivated by Exel's inverse semigroup approach to combinatorial C*-algebras, in a previous work the authors defined an inverse semigroup associated with a labelled space. We construct a representation of the C*-algebra of a labelled space, inspired by how one might cut or glue labelled paths together, that proves that non-zero elements in the inverse semigroup correspond to non-zero elements in the C*-algebra. We also show that the spectrum of its diagonal C*-subalgebra is homeomorphic to the tight spectrum of the inverse semigroup associated with the labelled space." @default.
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- W2400342460 date "2016-05-20" @default.
- W2400342460 modified "2023-09-27" @default.
- W2400342460 title "C*-algebras of labelled spaces and their diagonal C*-subalgebras" @default.
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- W2400342460 hasPublicationYear "2016" @default.
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