Dense quasi-free subalgebras of the Toeplitz algebra

Pirkovskii, A.

doi:10.1090/proc/16266

Dense quasi-free subalgebras of the Toeplitz algebra
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by A. Yu. Pirkovskii;

Proc. Amer. Math. Soc. 151 (2023), 1681-1696

DOI: https://doi.org/10.1090/proc/16266

Published electronically: January 26, 2023

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Abstract:

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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