Md Amir Hossain

collaborators

3 papers

math.OA2025

Inductive limits of partial crossed products

Md Amir Hossain

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

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…

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

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