Central twisted transformation groups and group C∗C^*-algebras of central group extensions

We examine the structure of central twisted transformation group \cs-algebras C_{0}(X)\rtimes_{\id,u}G, and apply our results to the group \cs-algebras of central group extensions. Our methods require that we study Moore's cohomology group H^{2}\bigl(G,C(X,\T)\bigr), and, in particular, we prove an inflation result for pointwise trivial cocyles which may be of use elsewhere.Comment: 22 pages. To appear in the Indiana U. Math.

The primitive ideals of some \'etale groupoid C*-algebras

Consider the Deaconu-Renault groupoid of an action of a finitely generated free abelian monoid by local homeomorphisms of a locally compact Hausdorff space. We catalogue the primitive ideals of the associated groupoid C*-algebra. For a special class of actions we describe the Jacobson topology.Comment: 22 page

Irreducible Induced Representations of Fell Bundle C*-Algebras

We give precise conditions under which irreducible representations associated to stability groups induce to irreducible representations for Fell bundle C*-algebras. This result generalizes an earlier result of Echterhoff and the second author. Because the Fell bundle construction subsumes most other examples of C*-algebras constructed from dynamical systems, our result percolates down to many different constructions including the many flavors of groupoid crossed products.Comment: Minor changes suggested by the referee. The paper is accepted for publication in Trans. Amer. Math. So