Piyasa Sarkar

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math.OA2023

Induced Isometric Representations

Piyasa Sarkar, S. Sundar

Let $σ$ be an isometric representation of $N^{d}$ on a Hilbert space $H$ . We induce $σ$ to an isometric representation $V$ of $R_{+}^{d}$ on another Hilbe…

math.OA2021

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 $1$ -parameter CCR flows, with index one. Moreover, the constructed CCR…