S. Bhattacharjee

activity

20182025

most citedQuantum Galois groups of subfactors

9 citations · 17 across the 9 of their papers we have counts for

collaborators

11 papers

math.OA2025

Cartan subproduct systems

Suvrajit Bhattacharjee, Olof Giselsson, Sergey Neshveyev

Given a semisimple compact Lie group $G$ and a nonzero dominant integral weight $λ$ , the highest weight $G_{q}$ -modules $V_{nλ}$ form a subproduct system of finite dimensional Hilber…

math.QA2024★ 1 cited

Complex structures on Three-point space

Suvrajit Bhattacharjee, Debashish Goswami

We discuss notions of almost complex, complex and Kähler structures in the realm of non-commutative geometry and investigate them for a class of finite dimensional spectral triples…

math.OA2024

Quasi-invariant lifts of completely positive maps for groupoid actions

Suvrajit Bhattacharjee, Marzieh Forough

Let $G$ be a locally compact, Hausdorff, second countable groupoid and $A$ be a separable, $C_{0} (G^{(0)})$ -nuclear, $G$ - $C^{*}$ -algebra. We prove the existence of quasi-invariant, com…

math.NT2022

An effective bound on Generalized Diophantine m-tuples

S. Bhattacharjee, A. B. Dixit, D. Saikia

For non-zero integers $n$ and $k \geq 2$ , a generalized Diophantine $m$ -tuple with property $D_{k} (n)$ is a set of $m$ positive integers $S = {a_{1}, a_{2}, \dots, a_{m}}$ such that $a_ia_j…

math.OA2022

Equivariant $C^{*}$ -correspondences and compact quantum group actions on Pimsner algebras

Suvrajit Bhattacharjee, Soumalya Joardar

Let $G$ be a compact quantum group. We show that given a $G$ -equivariant $C^{*}$ -correspondence $E$ , the Pimsner algebra $O_{E}$ can be naturally made into a $G$ -$\m…

math.QA2022★ 3 cited

Anyonic quantum symmetries of finite spaces

Anshu, Suvrajit Bhattacharjee, Atibur Rahaman +1

We construct a braided analogue of the quantum permutation group and show that it is the universal braided compact quantum group acting on a finite space in the category of $\mathb…

math.OA2022★ 4 cited

Braided quantum symmetries of graph $C^{*}$ -algebras

Suvrajit Bhattacharjee, Soumalya Joardar, Sutanu Roy

We prove the existence of a universal braided compact quantum group acting on a graph $C^{*}$ -algebra in the category of $T$ - $C^{*}$ -algebras with a twisted…

math.QA2021

Levi-Civita connections from toral actions

Suvrajit Bhattacharjee, Soumalya Joardar, Sugato Mukhopadhyay

We construct tame differential calculi coming from toral actions on a class of $C^{*}$ -algebras. Relying on the existence of a unique Levi-Civita connection on such a calcul…

math.QA2021★ 9 cited

Quantum Galois groups of subfactors

Suvrajit Bhattacharjee, Alexandru Chirvasitu, Debashish Goswami

For a finite-index $II_{1}$ subfactor $N \subset M$ , we prove the existence of a universal Hopf $*$ -algebra (or, a discrete quantum group in the analytic language) acting…

math.QA2019

Generalized symmetry in noncommutative (complex) geometry

Suvrajit Bhattacharjee, Indranil Biswas, Debashish Goswami

We introduce Hopf algebroid covariance on Woronowicz's differential calculus. Using it, we develop quite a general framework of noncommutative complex geometry that subsumes the on…

math.QA2018

Hopf coactions on odd spheres