We study simplicity and pure infiniteness criteria for C-algebras associated to inverse
semigroup actions by Hilbert bimodules and to Fell bundles over étale not necessarily …

We examine the semicrossed products of a semigroup action by∗-endomorphisms on a C*-
algebra, or more generally of an action on an arbitrary operator algebra by completely …

Semicrossed product algebras have been used to study dynamical systems since their
introduction by Arveson in 1967. In this survey article, we discuss the history and some …

We introduce crossed products of a $ C^* $-algebra $ A $ by a completely positive map
$\varrho: A\to A $ relative to an ideal in $ A $. They generalize various crossed products by …

For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle
on the associated Toeplitz algebra and Cuntz–Pimsner algebra, and hence natural …

Starting from an arbitrary endomorphism α of a unital C⁎-algebra A we construct a crossed
product. It is shown that the natural construction depends not only on the C⁎-dynamical …

We propose a generalization of Exel's crossed product by a single endomorphism and a
transfer operator to the case of actions of abelian semigroups of endomorphisms and …

Given a dynamical system $(A,\al) $ where $ A $ is a unital $\ca $-algebra and $\al $ is a
(possibly non-unital)*-endomorphism of $ A $, we examine families $(\pi,\{T_i\}) $ such that …

We prove a version of uniqueness theorem for Cuntz–Pimsner algebras of discrete product
systems over semigroups of Ore type. To this end, we introduce Doplicher–Roberts picture …

We consider a family of⁎-commuting local homeomorphisms on a compact space, and build
a compactly aligned product system of Hilbert bimodules. The Nica–Toeplitz algebra of this …