On a theorem of P. S. Muhly

Tanaka, Jun-ichi

doi:10.1090/S0002-9939-1979-0539643-2

On a theorem of P. S. Muhly
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Proc. Amer. Math. Soc. 77 (1979), 119-123 Request permission

Abstract:

The purpose of this paper is to show that if ${\mathfrak {M}_\mathfrak {A}}$ is the maximal ideal space of the function algebra induced by a strictly ergodic flow, then almost every point in ${\mathfrak {M}_\mathfrak {A}}$ has a unique representing measure which is concentrated on an orbit. This result enables us to extend some theorems of Muhly to a more general setting.

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