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arXiv · 1808.09647

The Toeplitz algebra has nuclear dimension one

Laura Brake·Wilhelm Winter
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Abstract

We prove the title by constructing 2-colourable completely positive approximations for the Toeplitz algebra. Besides results about nuclear dimension and completely positive contractive order zero maps, our argument involves projectivity of the cone over a finite dimensional C*-algebra and Lin's theorem on almost normal matrices.

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Laura Brake, Wilhelm Winter. 2018-08-29. The Toeplitz algebra has nuclear dimension one. https://doi.org/10.1112/blms.12250

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