JournalsprimsVol. 36, No. 2pp. 231–252

Harmonic Function Spaces of Probability Measures on Fusion Algebras

  • Tomohiro Hayashi

    Tohoku University, Sendai, Japan
Harmonic Function Spaces of Probability Measures on Fusion Algebras cover

Abstract

In this note, we study harmonic function spaces of probability measures on fusion algebras of C*-tensor categories and show that almost ergodicity is equivalent to ergodicity for amenable fusion algebras, which generalizes a result due to S. Popa for probability measures associated to subfactors.

Cite this article

Tomohiro Hayashi, Harmonic Function Spaces of Probability Measures on Fusion Algebras. Publ. Res. Inst. Math. Sci. 36 (2000), no. 2, pp. 231–252

DOI 10.2977/PRIMS/1195143102