Classification of minimal actions of a compact kac algebra with amenable dual

Toshihiko Masuda; Reiji Tomatsu

doi:10.1007/s00220-007-0269-4

Classification of minimal actions of a compact kac algebra with amenable dual

Toshihiko Masuda, Reiji Tomatsu

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

7 被引用数 (Scopus)

抄録

We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II₁. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.

本文言語	英語
ページ（範囲）	487-551
ページ数	65
ジャーナル	Communications in Mathematical Physics
巻	274
号	2
DOI	https://doi.org/10.1007/s00220-007-0269-4
出版ステータス	出版済み - 9月 2007

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
数理物理学

文献へのアクセス

10.1007/s00220-007-0269-4

他のファイルとリンク

引用スタイル

@article{1d184753e301484a873c4d7a60e2e892,

title = "Classification of minimal actions of a compact kac algebra with amenable dual",

abstract = "We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.",

author = "Toshihiko Masuda and Reiji Tomatsu",

year = "2007",

month = sep,

doi = "10.1007/s00220-007-0269-4",

language = "English",

volume = "274",

pages = "487--551",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Classification of minimal actions of a compact kac algebra with amenable dual

AU - Masuda, Toshihiko

AU - Tomatsu, Reiji

PY - 2007/9

Y1 - 2007/9

N2 - We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.

AB - We show the uniqueness of minimal actions of a compact Kac algebra with amenable dual on the AFD factor of type II1. This particularly implies the uniqueness of minimal actions of a compact group. Our main tools are a Rohlin type theorem, the 2-cohomology vanishing theorem, and the Evans-Kishimoto type intertwining argument.

UR - http://www.scopus.com/inward/record.url?scp=34547185950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547185950&partnerID=8YFLogxK

U2 - 10.1007/s00220-007-0269-4

DO - 10.1007/s00220-007-0269-4

M3 - Article

AN - SCOPUS:34547185950

SN - 0010-3616

VL - 274

SP - 487

EP - 551

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

Classification of minimal actions of a compact kac algebra with amenable dual

抄録

!!!All Science Journal Classification (ASJC) codes

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル