On a theorem of p. s. muhly

Junichi Tanaka

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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.

Original languageEnglish
Pages (from-to)119-123
Number of pages5
JournalProceedings of the American Mathematical Society
Issue number1
Publication statusPublished - 1979
Externally publishedYes



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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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