Md Amir Hossain

collaborators

7 papers

math.OA2026

Inclusions of Fell bundles $C^{*}$ -algebras and coaction crossed products

Md Amir Hossain

Let $p : A \to G$ be a Fell bundle over a locally compact Hausdorff second countable groupoid $G$ equipped with a Haar system, and let $I^$ be a discrete group. Give…

math.OA2026

On the Haagerup property for partial crossed products

Md Amir Hossain, Chaitanya J. Kulkarni

Let $(A, G, I^\pm)$ be a partial dynamical system and let $A ⋊_{I^\pm, r} G$ denote the associated reduced partial crossed product. In this article, we introduce the Haagerup property…

math.OA2026

Some remarks on Reduced $C^{*}$ -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 $C^{*}$ -algebra of a product system. We show that for a semigroup dynamical sy…

math.OA2025

Inductive limits of partial crossed products

Md Amir Hossain

Let $((A^{(i)}, G, I^\pm^{(i)}), I ¨ _{i})_{i \in N}$ be an inductive sequence of partial dynamical systems. We prove the existence of an induced partial action $I^\pm$ of $…

math.OA2025

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…

math.OA2025

Reduced $C^{*}$ -algebras of Product Systems -- an $E_{0}$ -semigroup and a Groupoid perspective

Md Amir Hossain, S. Sundar

For Ore semigroups $P$ with an order unit, we prove that there is a bijection between $E_{0}$ -semigroups over $P$ and product systems of $C^{*}$ -correspondences over $P^{o p}$ . We exp…

Inclusions of Fell bundles C∗-algebras and coaction crossed products

On the Haagerup property for partial crossed products

Some remarks on Reduced C∗-algebras of semigroup dynamical systems and product systems

Inductive limits of partial crossed products

Extreme points of unital completely positive maps invariant under partial action

Reduced C∗-algebras of Product Systems -- an E0​-semigroup and a Groupoid perspective

Inclusions of Fell bundles $C^{*}$ -algebras and coaction crossed products

Some remarks on Reduced $C^{*}$ -algebras of semigroup dynamical systems and product systems

Reduced $C^{*}$ -algebras of Product Systems -- an $E_{0}$ -semigroup and a Groupoid perspective