11 papers · 1 filter
Ground states on the \(\mathrm{C}^*\)-algebras of Fell bundles over étale groupoids
Md Amir Hossain
Let \(p\colon \mathcal{A}\to G\) be a Fell bundle over a locally compact Hausdorff second countable étale groupoid \(G\) and let \(\mathrm{C}^*(G; \mathcal{A})\) be the associated…
Inclusions of Fell bundles -algebras and coaction crossed products
Md Amir Hossain
Let be a Fell bundle over a locally compact Hausdorff second countable groupoid equipped with a Haar system, and let be a discrete group. Given…
On the Haagerup property for partial crossed products
Md Amir Hossain, Chaitanya J. Kulkarni
Let be a partial dynamical system and let denote the associated reduced partial crossed product. In this article, we introduce the Haagerup property fo…
Some remarks on Reduced -algebras of semigroup dynamical systems and product systems
Md Amir Hossain, S. Sundar
We study the exactness of the reduced crossed product of a semigroup dynamical system and the reduced -algebra of a product system. We show that for a semigroup dynamical sy…
Inductive limits of partial crossed products
Md Amir Hossain
Let be an inductive sequence of partial dynamical systems. We prove the existence of an induced partial action of …
Extreme points of unital completely positive maps invariant under partial action
Chaitanya J. Kulkarni, Md Amir Hossain
The classical Choquet theorem establishes a barycentric decomposition for elements in a compact convex subset of a locally convex topological vector space. This decomposition is ac…