Realization of amenable bicategories and weak amenability of fusion algebras

抄録

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 II₁-subfactor. This gives another proof of S. Popa's theorem. Weak amenability of fusion algebras is also discussed.