Arindam Sutradhar

activity

20202025

collaborators

4 papers

math.OA2025

$C^{}$ -extreme points of unital completely positive maps on real $C^{}$ -algebras

Anand O. R, K. Sumesh, Arindam Sutradhar

In this paper, we investigate the general properties and structure of $C^{*}$ -extreme points within the $C^{*}$ -convex set $UCP (A, B (H))$ of all unital comp…

math.OC2025

Gram-like matrix preserving extensions and completions of noncommutative polynomials

Arijit Mukherjee, Arindam Sutradhar

Given a positive noncommutative polynomial $f$ , equivalently a sum of Hermitian squares (SOHS), there exists a positive semidefinite Gram matrix that encrypts all the structural es…

math.OA2021

$K_{1}$ -injectivity of the Paschke dual algebra, and uniqueness

Jireh Loreaux, P. W. Ng, Arindam Sutradhar

We prove that a large class of Paschke dual algebras of simple unital C*-algebras are $K_{1}$ -injective. As a consequence, we obtain interesting $K K$ -uniqueness theorems which genera…

math.OA2020

Simultaneous averaging to zero by unitary mixing operators

Abhinav Chand, Leonel Robert, Arindam Sutradhar

We show that if every element a vector subspace of a C*-algebra can be averaged to zero by means of unitary mixing operators, then all the elements of the subspace can be simultane…

C∗-extreme points of unital completely positive maps on real C∗-algebras

Gram-like matrix preserving extensions and completions of noncommutative polynomials

K1​-injectivity of the Paschke dual algebra, and uniqueness

Simultaneous averaging to zero by unitary mixing operators

$C^{}$ -extreme points of unital completely positive maps on real $C^{}$ -algebras

$K_{1}$ -injectivity of the Paschke dual algebra, and uniqueness