Arindam Sutradhar

activity

20202026

collaborators

8 papers

math.OA2026

The pure infiniteness transfer problem

Arindam Sutradhar

Problem 8.4 of Pino, Goodearl, Perera and Molina in [arxiv.org/abs/0806.4156] asks whether a dense subalgebra $A_{0}$ of a $C^{*}$ -algebra $A$ that is purely infinite as a ring force…

math.RA2026

Commutators of finite multiplicative order

Arijit Mukherjee, Gobinda Sau, Arindam Sutradhar

This article studies the equation $[A,B]^k = \Id_n$ for matrices over $\CC$,characterizing the pairs $(k, n)$ for which solutions exist via a classical result of Lam and Leung on su…

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.OA2024

On spectral flow for operator algebras

Ping Wong Ng, Arindam Sutradhar, Cangyuan Wang

Spectral flow was first studied by Atiyah and Lusztig, and first appeared in print in the work of Atiyah-Patodi-Singer (APS). For a norm-continuous path of self-adjoint Fredholm op…

math.OA2022

k1-injectivity of the Paschke dual algebra for certain simple C*-algebras

Jireh Loreaux, P. W. Ng, Arindam Sutradhar

Let $B$ be a nonunital separable simple stable C*-algebra with strict comparison of positive elements and $T (B)$ having finite extreme boundary, and let $\mathc…

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…