Dense quasi-free subalgebras of the Toeplitz algebra

We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz algebra introduced by Cuntz is quasi-free.

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1. Verfasser: Pirkovskii, A. Yu
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Sprache:eng
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Zusammenfassung:We introduce a family of dense subalgebras of the Toeplitz algebra and give conditions under which our algebras are quasi-free. As a corollary, we show that the smooth Toeplitz algebra introduced by Cuntz is quasi-free.
DOI:10.48550/arxiv.2109.03352