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

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

1992-11-25

arxiv.org/abs/funct-an/9211006v1

Mathematics

Operator Algebras

3 pages, plain Tex version 2.95, 11-25-92

Scientific paper

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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