On a theorem of p. s. muhly

Junichi Tanaka

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume77
Issue number1
DOIs
Publication statusPublished - 1979
Externally publishedYes

Fingerprint

Representing Measure
Maximal Ideal Space
Function Algebra
Algebra
Orbits
Strictly
Orbit
Theorem

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Proceedings of the American Mathematical Society, Vol. 77, No. 1, 1979, p. 119-123.

Research output: Contribution to journalArticle

Tanaka, Junichi. / On a theorem of p. s. muhly. In: Proceedings of the American Mathematical Society. 1979 ; Vol. 77, No. 1. pp. 119-123.
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