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The Ideal Property and Traces
Authors:Cornel Pasnicu
Abstract:We prove a characterization of the ideal property for a large class of C*–algebras in terms of vanishing conditions for the finite traces on the algebra. An application of this result to a class of inductive limit C*–algebras (GAH algebras) is also given.
Keywords:C*–  algebra  the ideal property  finite C*–  algebra  finite trace
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