Sumit Kumar

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math.OA2026

A Complete Characterization of Cartan Inclusions of Finite Dimensional $C^{*}$ -algebras

Indrajit Ghosh, Sumit Kumar

We give a complete characterization of Cartan inclusions of finite dimensional $C^{*}$ -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 $C^{*}$ -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 $C^{*}$ -algebras. For subalgebras $\bigoplus_j( \mathbb{M…

math.OA2025

Relations amongst the distances between $C^{*}$ -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 $C^{*}$ -subalgebras $A$ and $B$ of a $C^{*}$ -algebra $C$ is equal…

A Complete Characterization of Cartan Inclusions of Finite Dimensional C∗-algebras

A Complete Characterization of Regular Inclusions of Finite Dimensional C∗-algebras

Relations amongst the distances between C∗-subalgebras and some canonically associated operator algebras

A Complete Characterization of Cartan Inclusions of Finite Dimensional $C^{*}$ -algebras

A Complete Characterization of Regular Inclusions of Finite Dimensional $C^{*}$ -algebras

Relations amongst the distances between $C^{*}$ -subalgebras and some canonically associated operator algebras