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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	487-551
Number of pages	65
Journal	Communications in Mathematical Physics
Volume	274
Issue number	2
DOIs	https://doi.org/10.1007/s00220-007-0269-4
Publication status	Published - Sept 2007

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/s00220-007-0269-4

Cite this

@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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this