In this paper, we consider the realization problem of amenable bicategories by using AFD-bimodules. As a corollary, we can realize an amenable standard lattice as that of an AFD -subfactor. This gives another proof of S. Popa's theorem. Weak amenability of fusion algebras is also discussed.
Tomohiro HAYASHI. "Realization of amenable bicategories and weak amenability of fusion algebras." J. Math. Soc. Japan 53 (1) 147 - 174, January, 2001. https://doi.org/10.2969/jmsj/05310147