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Article
Amenability and Approximation Properties for Partial Actions and Fell Bundles
Building on previous papers by Anantharaman-Delaroche (AD) we introduce and study the notion of AD-amenability for partial actions and Fell bundles over discrete groups. We prove that the cross-sectional ...
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Article
Opposite algebras of groupoid C*-algebras
We show that every groupoid C*-algebra is isomorphic to its opposite, and deduce that there exist C*-algebras that are not stably isomorphic to groupoid C*-algebras, though many of them are stably isomorphic to t...
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Article
Morita Envelo** Fell Bundles
We introduce notions of weak and strong equivalence for non-saturated Fell bundles over locally compact groups and show that every Fell bundle is strongly (resp. weakly) equivalent to a semidirect product Fell...
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Article
Reduced C*-algebras of Fell bundles over inverse semigroups
We construct a weak conditional expectation from the section C*-algebra of a Fell bundle over a unital inverse semigroup to its unit fibre. We use this to define the reduced C*-algebra of the Fell bundle. We s...
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Chapter and Conference Paper
Exotic Crossed Products
An exotic crossed product is a way of associating a C ∗-algebra to each C ∗-dynamical system that generalizes the well-known universal and reduced crossed products. Exotic crossed products provide natural general...
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Article
Open AccessInverse semigroup actions as groupoid actions
To an inverse semigroup, we associate an étale groupoid such that its actions on topological spaces are equivalent to actions of the inverse semigroup. Both the object and the arrow space of this groupoid are ...
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Article
Open AccessNon-Hausdorff symmetries of C*-algebras
Symmetry groups or groupoids of C*-algebras associated to non-Hausdorff spaces are often non-Hausdorff as well. We describe such symmetries using crossed modules of groupoids. We define actions of crossed modu...
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Article
Integrability of dual coactions on Fell bundle C*-algebras
We study integrability for coactions of locally compact groups. For abelian groups, this corresponds to integrability of the associated action of the Pontrjagin dual group. The theory of integrable group actio...
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Article
A generalized Fourier inversion Theorem
In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a gener...
