5 papers
Kadison-Kastler Distance and Interior Angle for Masas: Connections with Entropy and Probabilistic Index
Indrajit Ghosh, Sumit Kumar
We study the Kadison--Kastler distance and the interior angle between masas in finite-dimensional matrix algebras. In \(\mathbb{M}_2(\mathbb{C})\), we obtain an explicit formula fo…
A Complete Characterization of Cartan Inclusions of Finite Dimensional -algebras
Indrajit Ghosh, Sumit Kumar
We give a complete characterization of Cartan inclusions of finite dimensional -algebras in terms of their inclusion matrices. More precisely, for a unital inclusion $\mathcal…
A Complete Characterization of Regular Inclusions of Finite Dimensional -algebras
Keshab Chandra Bakshi, Indrajit Ghosh, Sumit Kumar
We give a complete characterization of regular (in the sense of Kumjian and Renault) unital inclusions of finite-dimensional -algebras. For subalgebras $\bigoplus_j( \mathbb{M…
Relations amongst the distances between -subalgebras and some canonically associated operator algebras
Ved Prakash Gupta, Sumit Kumar
We prove that the Christensen distance (resp., the Kadison-Kastler distance) between two -subalgebras and of a -algebra is equal…
On various notions of distance between subalgebras of operator algebras
Ved Prakash Gupta, Sumit Kumar
Given any irreducible inclusion $\mB \subset \mA$ of unital -algebras with a finite-index conditional expectation $E: \mA \to \mB$, we show that the set of -compatible inte…