### Abstract

The purpose of this paper is to show that if M_{U} is the maximal ideal space of the function algebra induced by a strictly ergodic flow, then almost every point in M_{U} 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.

Original language | English |
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Pages (from-to) | 119-123 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 77 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1979 |

Externally published | Yes |

### Keywords

- Dirichlet algebra
- Maximal ideal space
- Representing measure
- Strictly ergodic flow

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Tanaka, J. (1979). On a theorem of p. s. muhly.

*Proceedings of the American Mathematical Society*,*77*(1), 119-123. https://doi.org/10.1090/S0002-9939-1979-0539643-2