Some Remarks on Group Bundles and C*-dynamical systems
arXiv:math/0301124 · doi:10.1007/s00220-007-0268-5
Abstract
We introduce the notion of fibred action of a group bundle on a C(X)-algebra. By using such a notion, a characterization in terms of induced C*-bundles is given for C*-dynamical systems such that the relative commutant of the fixed-point algebra is minimal (i.e., it is generated by the centre of the given C*-algebra and the centre of the fixed-point algebra). A class of examples in the setting of the Cuntz algebra is given, and connections with superselection structures with nontrivial centre are discussed.
22 pages; to appear on Comm. Math. Phys