3 papers
math.OA2026
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…
math.OA2026
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…
math.OA2025
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…