Multiplicity-free Representations of Commutative C*-algebras and Spectral Properties
نویسنده
چکیده
Let A be a commutative unital C-algebra and let  denote its Gelfand spectrum. We find some necessary and sufficient conditions for a nondegenerate representation of A to be unitarily equivalent to a multiplicative representation on a space L(Â, μ), where μ is a positive measure on the Baire sets of Â. We also compare these conditions with the multiplicity-free property of a representation.
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