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

Larry B. Schweitzer

funct-anarXiv:funct-an/9211006

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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