8 citations · 36 across the 26 of their papers we have counts for
29 papers
Continuous family of compact quantum metric space structures from cocycle twisted crossed product -algebras
Arnab Chattopadhyay, Soumalya Joardar
We establish the existence of a three-parameter family of compact quantum metric space structures on cocycle twisted crossed products by discrete groups. We are mainly interested i…
Metric dimension of -algebras of cocycle twisted transformation groupoids: Growth and dynamical complexity
Arnab Chattopadhyay, Soumalya Joardar
We consider a natural CQMS structure on a twisted transformation groupoid -algebra coming from stratified Lip-norm introduced by Austad. We obtain upper bou…
Metric dimension and product entropy of group -algebras
Arnab Chattopadhyay, Soumalya Joardar
We consider reduced group -algebras of finitely generated discrete groups metrized by seminorms obtained from word length functions. We study the metric dimensions of suc…
On outer automorphisms of certain graph -algebras
Swarnendu Datta, Debashish Goswami, Soumalya Joardar
Given a countable abelian group , we construct a row finite directed graph such that the -group of the graph -algebra …
Metrics on -algebras of Étale groupoids from length functions
Arnab Chattopadhyay, Md Amir Hossain, Soumalya Joardar
We show that for an étale groupoid with compact unit space, the natural Dirac type operator from a continuous length function produces a natural pseudo-metric on the state space of…
Isometric actions of compact quantum groups on graph C*-algebras
Soumalya Joardar, Jitender Sharma
For a strongly connected directed graph , it is shown that the quantum automorphism group of acts isometrically in the sense of D. Goswami et al. on the spectral triple $(C^…
Operator on Operator Regression in Quantum Probability
Suprio Bhar, Subhra Sankar Dhar, Soumalya Joardar
This article introduces operator on operator regression in quantum probability. Here in the regression model, the response and the independent variables are certain operator valued…
Twisted edge Laplacians on finite graphs from a Kähler structure
Soumalya Joardar, Atibur Rahaman
In this paper we study a Kahler structure on finite points. In particular, we study the edge Laplacian of a graph twisted by the Kahler structure introduced in this paper. We also…
Almost complex structure on finite points from bidirected graphs
Soumalya Joardar, Atibur Rahaman
We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate…
Quantum isomorphism of -graphs
Soumalya Joardar, Atibur Rahaman, Jitender Sharma
We formulate a notion of the quantum automorphism group of a -graph. After some preliminary computations, we define quantum isomorphism between a pair of -graphs. We produce…
Equivariant -correspondences and compact quantum group actions on Pimsner algebras
Suvrajit Bhattacharjee, Soumalya Joardar
Let be a compact quantum group. We show that given a -equivariant -correspondence , the Pimsner algebra can be naturally made into a -$\m…
Braided quantum symmetries of graph -algebras
Suvrajit Bhattacharjee, Soumalya Joardar, Sutanu Roy
We prove the existence of a universal braided compact quantum group acting on a graph -algebra in the category of --algebras with a twisted…
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 -algebras. Relying on the existence of a unique Levi-Civita connection on such a calcul…
Levi-Civita connections for conformally deformed metrics on tame differential calculi
Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar
Given a tame differential calculus over a noncommutative algebra and an -bilinear pseudo-Riemannian metric consider the conformal deformation $ g…
Improved bound on the non zero eigenvalues of the graph Laplacian coming from quantum symmetry of vertex transitive graphs
Soumalya Joardar
A chain of quantum subgroups of the quantum automorphism group of finite graphs has been introduced. It generalizes the construction of J. Bichon (see [3]) in a sense. A better bou…
Scalar Curvature of a Levi-Civita Connection on Cuntz algebra with three generators
Soumalya Joardar
A differential calculus on Cuntz algebra with three generators coming from the action of rotation group in three dimensions is introduced. The differential calculus is shown to sat…
An example of explicit dependence of quantum symmetry on KMS states
Soumalya Joardar, Arnab Mandal
We compute all the quantum symmetries of a graph with n- disjoint loops at the critical inverse temperature. We show that the set of non-isomorphic CQG's appearing as quantum symme…
Invariance of KMS states on graph C*-algebras under classical and quantum symmetry
Soumalya Joardar, Arnab Mandal
We study invariance of KMS states on graph C*-algebras coming from strongly connected and circulant graphs under the classical and quantum symmetry of the graphs. We show that the…
A note on the injectivity of action by compact quantum groups on a class of -algebras
D Goswami, S Joardar
We give some sufficient conditions for the injectivity of actions of compact quantum groups on -algebra. As an application, we prove that any faithful smooth action by a…
Quantum symmetry of graph C*-algebras at critical inverse temperature
Arnab Mandal, Soumalya Joardar
We give a notion of quantum automorphism group of graph C*-algebras without sink at critical inverse temperature. This is defined to be the universal object of a category of CQG's…
Quantum Symmetry of Graph C*-algebras associated with connected Graphs
Soumalya Joardar, Arnab Mandal
We define a notion of quantum automorphism group of Graph C*-algebras for finite, connected graphs. Under the assumption that the underlying graph does not have any multiple edge o…
A new look at Levi-Civita connection in noncommutative geometry
Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar
We prove the existence and uniqueness of Levi-Civita connections for strongly sigma-compatible pseudo-Riemannian metrics on tame differential calculi. Such pseudo-Riemannian metric…
Smooth actions of compact quantum groups on compact smooth manifolds
Debashish Goswami, Soumalya Joardar
Definition of a smooth action of a CQG on a compact, smooth manifold is given and studied. It is shown that a smooth action is always injective. Furthermore A necessary and suffici…
An averaging trick for smooth actions of compact quantum groups on manifolds
Debashish Goswami, Soumalya Joardar
We prove that, given any smooth action of a compact quantum group (in the sense of \cite{rigidity}) on a compact smooth manifold satisfying some more natural conditions, one can ge…