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Working paper

Dense quasi-free subalgebras of the Toeplitz algebra

arxiv.org. math. Cornell University, 2021. No. 2109.03352.
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.