Surajit Biswas

activity

20242026

collaborators

5 papers

math.OA2026

Crystallization of the quantum Stiefel manifolds $S O_{q} (2 n + 1) / S O_{q} (2 n - 1)$

Surajit Biswas, Vinay Deshpande, Bipul Saurabh

In this paper, we introduce the crystallization $C (S O_{0} (2 n + 1) / S O_{0} (2 n - 1))$ of the $C^{*}$ -algebra $C (S O_{q} (2 n + 1) / S O_{q} (2 n - 1))$ . We show that every irreducible representation of $C(SO_0…

math.OA2025

On the classification of $C^{*}$ -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…

math.OA2025

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…

math.QA2024

Topological invariance of quantum homogeneous spaces of type $B$ and $D$

Akshay Bhuva, Surajit Biswas, Bipul Saurabh

In this article, we study two families of quantum homogeneous spaces, namely, $S O_{q} (2 n + 1) / S O_{q} (2 n - 1)$ , and $S O_{q} (2 n) / S O_{q} (2 n - 2)$ . By applying a two-step Zhelobenko branching rule,…

math.QA2024

Spectral dimension of $p$ -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 $p$ -adic integers, $\mathbb{Z…

Crystallization of the quantum Stiefel manifolds SOq​(2n+1)/SOq​(2n−1)

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

Vanishing of dimensions and nonexistence of spectral triples on compact Vilenkin groups

Topological invariance of quantum homogeneous spaces of type B and D

Spectral dimension of p-adic integers

Crystallization of the quantum Stiefel manifolds $S O_{q} (2 n + 1) / S O_{q} (2 n - 1)$

On the classification of $C^{*}$ -algebras of twisted isometries with finite dimensional wandering spaces

Topological invariance of quantum homogeneous spaces of type $B$ and $D$

Spectral dimension of $p$ -adic integers