Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

Toshihiko Masuda; Reiji Tomatsu

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Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

机译：紧致对偶紧致Kac代数对III型内插因子的最小作用的分类

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摘要

We classify a certain class of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III. The structural analysis of type III factors and the canonical extension of endomorphisms introduced by Izumi are our main technical tools.

机译：我们将紧凑型Kac代数的一类最小动作归类为III类注射因子。 Izumi引入的III型因子的结构分析和内态的规范扩展是我们的主要技术工具。

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来源
《Journal of Functional Analysis》 |2010年第6期|共61页
作者
Toshihiko Masuda; Reiji Tomatsu;
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正文语种 eng
中图分类数学;
关键词
Operator algebra; Factor of type III; Compact Kac algebra; Minimal action;

机译：算子代数;III型因子;紧凑Kac代数;最小作用;

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专利

1. Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III [J] . Toshihiko Masuda, Reiji Tomatsu Journal of Functional Analysis . 2010,第6期

机译：紧致对偶紧致Kac代数对III型内插因子的最小作用的分类
2. Classification of Minimal Actions of a Compact Kac Algebra with Amenable Dual [J] . Toshihiko Masuda, Reiji Tomatsu Communications in Mathematical Physics . 2007,第2期

机译：具有对偶紧致Kac代数的最小作用的分类
3. Classification of Roberts actions of strongly amenable C-*-tensor categories on the injective factor of type III1 [J] . Masuda Toshihiko International journal of mathematics . 2017,第7期

机译：强大的C - * - 张量类别对III1型注射因子的罗伯茨行动的分类
4. Contractions of affine Kac-Moody algebras [C] . J Daboul, C Daboul, M de Montigny International Symposium on Quantum Theory and Symmetries . 2009

机译：归属Kac-Moody代数的收缩
5. Compact group actions on C*-algebras: classification, non-classifiability, and crossed products and rigidity results for Lp-operator algebras [D] . Gardella, Emilio Eusebio 2015

机译：C *代数上的紧凑组动作：Lp算子代数的分类，不可分类性和交叉乘积以及刚性结果
6. Minimal dynamics and the classification of C*-algebras [O] . Andrew S. Toms, Wilhelm Winter 2009

机译：最小动力学和C *代数的分类
7. Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III [O] . Masuda Toshihiko, Tomatsu Reiji 2010

机译：紧致对偶紧凑型Kac代数对III型内插因子的最小作用的分类
8. Classification of Actions of Discrete Amenable Groups on Amenable Subfactors of Type II. [R] . Popa, S. 1992

机译：II类适应子因子上离散适应群的作用分类。

Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III

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