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. 231–252DOI 10.2977/PRIMS/1195143102