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- W4385849225 abstract "Let $sigma$ be an isometric representation of $mathbb{N}^d$ on a Hilbert space $mathcal{H}$. We induce $sigma$ to an isometric representation $V$ of $mathbb{R}_{+}^{d}$ on another Hilbert space $mathcal{K}$. We show that the map $sigma to V$, restricted to strongly pure isometric representations, preserves index and irreducibility. As an application, we show that, for $k in {0, 1,2,cdots} cup {infty}$, there is a continuum of prime multiparameter CCR flows (i.e, not a tensor product of two non-trivial $E_0$-semigroups) with index $k$." @default.
- W4385849225 created "2023-08-16" @default.
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- W4385849225 date "2023-08-14" @default.
- W4385849225 modified "2023-10-16" @default.
- W4385849225 title "Induced Isometric Representations" @default.
- W4385849225 doi "https://doi.org/10.48550/arxiv.2308.07135" @default.
- W4385849225 hasPublicationYear "2023" @default.
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