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A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra

Larry B. Schweitzer
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Abstract

We give an example of a dense, simple, unital Banach subalgebra $A$ of the irrational rotation C*-algebra $B$, such that $A$ is not a spectral subalgebra of $B$. This answers a question posed in T.W. Palmer's paper [1].

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BibTeXRIS

Larry B. Schweitzer. 1992-11-25. A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra. https://arxiv.org/abs/funct-an/9211006

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