9 citations · 43 across the 21 of their papers we have counts for
22 papers
Some remarks on Reduced -algebras of semigroup dynamical systems and product systems
Md Amir Hossain, S. Sundar
We study the exactness of the reduced crossed product of a semigroup dynamical system and the reduced -algebra of a product system. We show that for a semigroup dynamical sy…
Induced Isometric Representations
Piyasa Sarkar, S. Sundar
Let be an isometric representation of on a Hilbert space . We induce to an isometric representation of on another Hilbe…
On the KMS states for the Bernoulli shift
S. Sundar
Let be the Cantor space, and let be the Bernoulli shift. For the flow on the crossed product determined by a potentia…
Multiparameter Decomposable Product Systems
C. H. Namitha, S. Sundar
In [8], Arveson proved that a -parameter decomposable product system is isomorphic to the product system of a CCR flow. We show that the structure of a generic decomposable prod…
Representations of the weak Weyl commutation relation
S. Sundar
Let be a locally compact abelian group with Pontraygin dual . Suppose is a closed subsemigroup of containing the identity element . We assume that h…
Examples of Multiparameter CCR flows with non-trivial index
Piyasa Sarkar, S. Sundar
In this paper, we construct uncountably many examples of multiparameter CCR flows, which are not pullbacks of -parameter CCR flows, with index one. Moreover, the constructed CCR…