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Semi-simple locally compact monothetic semi-algebras
Published online by Cambridge University Press: 20 January 2009
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Bonsall and Tomiuk have shown, in (3), the connection between the local compactness of a monothetic semi-algebra and the spectral properties of a generating element. This theme was developed, in (4), to give a complete characterisation of prime, strict locally compact monothetic semi-algebras in terms of the spectrum of a generator (Theorem A). Here we extend this result to the case of a semi-simple locally compact monothetic semi-algebra (Theorem B).
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- Copyright © Edinburgh Mathematical Society 1969
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