Md Amir Hossain

activity

20232026

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4 papers · 1 filter

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…

math.OA2025

Metrics on $C^{*}$ -algebras of Étale groupoids from length functions

Arnab Chattopadhyay, Md Amir Hossain, Soumalya Joardar

We show that for an étale groupoid with compact unit space, the natural Dirac type operator from a continuous length function produces a natural pseudo-metric on the state space of…

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

Metrics on C∗-algebras of Étale groupoids from length functions

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

Metrics on $C^{*}$ -algebras of Étale groupoids from length functions