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Kadison-Kastler Distance and Interior Angle for Masas: Connections with Entropy and Probabilistic Index
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 for the Kadison--Kastler distance between two masas and show that every value in \([0,1]\) is attained by \(\mathrm{d}_{\t
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