English

Dense quasi-free subalgebras of the Toeplitz algebra

Operator Algebras 2021-09-09 v1 Functional Analysis Rings and Algebras

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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Cite

@article{arxiv.2109.03352,
  title  = {Dense quasi-free subalgebras of the Toeplitz algebra},
  author = {A. Yu. Pirkovskii},
  journal= {arXiv preprint arXiv:2109.03352},
  year   = {2021}
}

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16 pages