Minimal Index and Unimodular Sectors

Longo, Roberto

doi:10.1007/978-94-017-2823-2_27

Roberto Longo⁶

Part of the book series: Mathematical Physics Studies ((MPST,volume 16))

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Abstract

We give a somewhat more direct argument for the multiplicativity of the minimal index [3], in the case of a chain of inclusions in the Jones tower; the general case is a consequence of this result [4]. The proof still relies on an argument in [8], now extended to the type III setting.

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Authors and Affiliations

Dipartimento di Matematica, Università di Roma “Tor Vergata” via della Ricerca Scientifica, I-00133, Roma, Italy
Roberto Longo

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Roberto Longo
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Editors and Affiliations

Research Institute for Mathematical Sciences, Kyoto University, 606-01, Sakyo-ku, Kyoto, Japan
Huzihiro Araki
Department of Mathematics and Information, College of Liberal Arts, Kyoto University, Sakyo-ku, Yoshida Kyoto 606, Japan
Keiichi R. Ito
Department of Mathematics Faculty of Science, Hokkaido University, Sapporo 060, Japan
Akitaka Kishimoto
Research Institute for Mathematical Sciences, Kyoto University, 606-01, Kyoto, Japan
Izumi Ojima

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Longo, R. (1993). Minimal Index and Unimodular Sectors. In: Araki, H., Ito, K.R., Kishimoto, A., Ojima, I. (eds) Quantum and Non-Commutative Analysis. Mathematical Physics Studies, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2823-2_27

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DOI: https://doi.org/10.1007/978-94-017-2823-2_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4334-4
Online ISBN: 978-94-017-2823-2
eBook Packages: Springer Book Archive

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