3 papers
math.OA2025
Doubly Commuting Semigroups of Isometries
C. H. Namitha, S. Sundar, Shankar Veerabathiran
In this paper, we discuss the structure of doubly commuting semigroups of isometries. We record a new proof of Cooper's theorem in the Hilbert module setting. We discuss the Fell t…
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.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…