A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra
classification
funct-an
math.OA
keywords
subalgebraalgebrabanachdenseirrationalrotationanswersexample
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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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