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8 papers

math.OA2026

Quantum Gromov-Hausdorff Convergence for Extensions of -Algebras

Vibhor Bhatt, Satyajit Guin, Bipul Saurabh

The paper studies how quantum Gromov‑Hausdorff convergence of certain operator systems can be lifted through Toeplitz‑type extensions of C*-algebras by stable ideals, using a new u…

math.OA2026

as a Groupoid -algebra

Shreema Subhash Bhatt, Vinay Deshpande, Bipul Saurabh

In this paper, we prove that is isomorphic to the -algebra of the tight groupoid associated with the inverse semigroup gene…

math.QA2026

Topological invariance of quantum homogeneous spaces of type and

Akshay Bhuva, Surajit Biswas, Bipul Saurabh

In this article, we study two families of quantum homogeneous spaces, namely, , and . By applying a two-step Zhelobenko branching rule,…

math.OA2026

as iterated torsioned quantum double suspensions of

Bipul Saurabh

Let be a unital -algebra, and let denote the -torsioned quantum double suspension of . For and , we prove that the -algebra c…

math.QA2025

Spectral dimension of -adic integers

Surajit Biswas, Bipul Saurabh

The notion of spectral dimension was introduced by Chakraborty and Pal in \cite{cp}. In this paper, we show that the spectral dimension of the ring of -adic integers, $\mathbb{Z…

math.OA2025

On the classification of -algebras of twisted isometries with finite dimensional wandering spaces

Shreema Subhash Bhatt, Surajit Biswas, Bipul Saurabh

Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among thos…