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math.FA2026
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…
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…