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Deputy Dean for Academic Progress
Deputy Dean for Research
There are several ways of thinking on C*-algebra bundles. All of them give an exact meaning to the statement that a certain family of C*-algebras depend continuously on a parameter. We will concentrate on three equivalent notions: continuous fields of C*-algebras, continuous bundles of C*-algebras, and C_0(X)-C*-algebras. We define the respective categories, describe equivalences between them, and show how this works in the case of the quantum torus.