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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…
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…