@article{21512649920b4d1db075f5104917dd20,
title = "Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras",
abstract = "We extend the Longo-Rehren construction to an infinite system of bimodules (of sectors). The construction is similar to the crossed product. We also show that the Longo-Rehren construction gives an isomorphic subfactor to Popa's symmetric enveloping algebra. We discuss the relation between the Longo-Rehren subfactors and amenability of fusion algebras in the sense of Hiai and Izumi.",
author = "Toshihiko Masuda",
note = "Funding Information: The author expresses special gratitude to Professor M. Izumi for explaining the contents of [9] and much fruitful advice, especially the formula in Lemma 3.1. He is also grateful to Professor T. Isola for explaining about [8], Professor Y. Kawahigashi for helpful suggestions and constant encouragement, Professor S. Popa for various comments on this paper, and the referee for careful reading of the manuscript and useful comments. Part of this work was done during the author{\textquoteright}s stay at the University of California, Berkeley. He thanks the University for its hospitality. Financial support was provided by the Japan Society for the Promotion of Science.",
year = "2000",
month = feb,
day = "20",
doi = "10.1006/jfan.1999.3523",
language = "English",
volume = "171",
pages = "53--77",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "1",
}