APPLICATION OF FUSION RULES TO CLASSIFICATION OF SUBFACTORS

被引：120

作者：

IZUMI, M ^{[1
]}

机构：

[1] KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1991年 / 27卷 / 06期

关键词：

D O I：

10.2977/prims/1195169007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By the technique of Longo's sector, the following two results are obtained. (1) A proof is given to Ocneanu s announcement about the non-existence of paragroups for Coxeter graphs E7 and D(odd) (2) Subfactors of the type III1 AFD factor with index 3 are classified.

引用

页码：953 / 994

页数：42

共 25 条

[1]

CHODA M, UNPUB

[2] LOCAL OBSERVABLES AND PARTICLE STATISTICS .1. [J].

DOPLICHER, S ;

HAAG, R ;

ROBERTS, JE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 23 (03) :199-+

[3]

Goodman F.M., 2012, COXETER GRAPHS TOWER

[4]

Haagerup U, PREPRINT

[5]

HAGGERUP U, 1979, J FUNCT ANAL, V33, P339

[6]

HAGGERUP U, 1979, J FUNCT ANAL, V32, P175

[7]

IZUMI M, UNPUB

[8] INDEX FOR SUBFACTORS [J].

JONES, VFR .

INVENTIONES MATHEMATICAE, 1983, 72 (01) :1-25

[9]

KAWAHIGASHI Y, IN PRESS ACTA MATH

[10] CHARACTERIZATION OF CROSSED PRODUCT (PROPERLY INFINITE CASE) [J].

KOSAKI, H .

PACIFIC JOURNAL OF MATHEMATICS, 1989, 137 (01) :159-167

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