From the 1 of 8 linked papers with an AI index.
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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…
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…
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…
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…
-stability of -algebras generated by isometries and unitaries with twisted commutation relations
Shreema Subhash Bhatt, Bipul Saurabh
In this article, we prove -stability for a family of -algebras, which are generated by a finite set of unitaries and isometries satisfying twisted commutation relations. Th…
Vanishing of dimensions and nonexistence of spectral triples on compact Vilenkin groups
Surajit Biswas, Bipul Saurabh
We compute the spectral dimension, the dimension of a symmetric random walk, and the Gelfand-Kirillov dimension for compact Vilenkin groups. As a result, we show that these dimensi…