Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras
The aim of the paper was two-fold. First, the author wanted to extend the Longo-Rehren construction of subfactors [\textit{R. Longo} and \textit{K.-H. Rehren}, Rev. Math. Phys. 7, No. 4, 567-597 (1995; Zbl 0836.46055)] to the case of infinite depth, and secondly, he wanted to give a more direct approach to the amenability of subfactors based on Work by \textit{F. Hiai} and \textit{M. Izumi} [Int. J. Math. 9, No. 6, 669-722 (1998)] on amenability of fusion algebras. Regarding the first, he also proves that Popa's symmetric enveloping inclusion and the subfactor constructed by Longo and Rehren are isomorphic.
scientific article; zbMATH DE number 1423452