A systematic study of pullback and pushout diagrams is conducted in order to understand
restricted direct sums and amalgamated free products of C*-algebras. Particular emphasis is …

Abstract Let F⊆ SL2 (ℤ) be a finite subgroup (necessarily isomorphic to one of ℤ2, ℤ3, ℤ4,
or ℤ6), and let F act on the irrational rotational algebra Aθ via the restriction of the canonical …

In this work we introduce and study a new notion of amenability for actions of locally
compact groups on $ C^* $-algebras. Our definition extends the definition of amenability for …

In this paper we study continuous bundles of C*-algebras which are non-commutative
analogues of principal torus bundles. We show that all such bundles, although in general …

We study an analogue of fibrations of topological spaces with the homotopy lifting property
in the setting of C*-algebra bundles. We then derive an analogue of the Leray–Serre …

In this paper, we initiate the study of a parametrised version of Rieffel's strict deformation
quantization. We apply it to give a classification of noncommutative principal torus bundles …

We make a detailed study of locally inner actions on C*-algebras whose primitive ideal
spaces have locally compact Hausdorff complete regularizations. We suppose that G has a …

This thesis contains some results concerning groupoid dynamical systems and crossed
products. We introduce the notion of a proper groupoid dynamical system and of its …

The homotopy symmetric C^* C∗-algebras are those separable C^* C∗-algebras for which
one can unsuspend in E-theory. We find a new simple condition that characterizes …

Connectivity is a homotopy invariant property of separable C⁎-algebras which has three
notable consequences: absence of nontrivial projections, quasidiagonality and a more …