Function algebras and flows. IV

Muhly, Paul S.

doi:10.1090/S0002-9947-1975-0493358-9

Function algebras and flows. IV
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by Paul S. Muhly

Trans. Amer. Math. Soc. 203 (1975), 55-66

DOI: https://doi.org/10.1090/S0002-9947-1975-0493358-9

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Abstract:

The automorphisms of the algebra $\mathfrak {A}$ of analytic functions associated with a flow (without periodic orbits) are completely determined. This result extends earlier work of Arens who determined the automorphisms of $\mathfrak {A}$ when the flow is almost periodic. The Choquet boundary of the maximal ideal space of $\mathfrak {A}$ is also determined under the hypothesis that the flow has no fixed points.

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