### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*77*(1), 119-123. https://doi.org/10.1090/S0002-9939-1979-0539643-2

**On a theorem of p. s. muhly.** / Tanaka, Junichi.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 77, no. 1, pp. 119-123. https://doi.org/10.1090/S0002-9939-1979-0539643-2

}

TY - JOUR

T1 - On a theorem of p. s. muhly

AU - Tanaka, Junichi

PY - 1979

Y1 - 1979

N2 - The purpose of this paper is to show that if MU is the maximal ideal space of the function algebra induced by a strictly ergodic flow, then almost every point in MU 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.

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

KW - Dirichlet algebra

KW - Maximal ideal space

KW - Representing measure

KW - Strictly ergodic flow

UR - http://www.scopus.com/inward/record.url?scp=84966211781&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966211781&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1979-0539643-2

DO - 10.1090/S0002-9939-1979-0539643-2

M3 - Article

VL - 77

SP - 119

EP - 123

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -