4 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…
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…