5 papers · 1 filter
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 of a -algebra that is purely infinite as a ring force…
-extreme points of unital completely positive maps on real -algebras
Anand O. R, K. Sumesh, Arindam Sutradhar
In this paper, we investigate the general properties and structure of -extreme points within the -convex set of all unital comp…
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…
-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 -injective. As a consequence, we obtain interesting -uniqueness theorems which genera…
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…