Seminar "Functional analysis and noncommutative geometry". Speaker : Vladislav Balakirev

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.