Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras

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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.

Original languageEnglish
Pages (from-to)53-77
Number of pages25
JournalJournal of Functional Analysis
Volume171
Issue number1
DOIs
Publication statusPublished - Feb 20 2000
Externally publishedYes

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Subfactors
Amenability
Fusion
Algebra
Symmetric Algebra
Enveloping Algebra
Crossed Product
Bimodule
Infinite Systems
Sector
Isomorphic
Generalization

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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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.",
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