3 papers
math.OA2024
Powers and roots of partial isometric covariant representations
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
Isometric covariant representations play an important role in the study of Cuntz-Pimsner algebras. In this article, we study partial isometric covariant representations and explore…
math.OA2024
Block quantum dynamical semigroups of completely positive definite kernels
Santanu Dey, Dimple Saini, Harsh Trivedi
Kolmogorov decomposition for a given completely positive definite kernel is a generalization of Paschke's GNS construction for the completely positive map. Using Kolmogorov decompo…
math.OA2023
A characterization of invariant subspaces for isometric representations of product system over
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
Using the Wold-von Neumann decomposition for the isometric covariant representations due to Muhly and Solel, we prove an explicit representation of the commutant of a doubly commut…