戸松玲治

J-GLOBALへ         更新日: 17/10/20 10:22
 
アバター
研究者氏名
戸松玲治
 
トマツ レイジ
eメール
tomatsumath.sci.hokudai.ac.jp
URL
https://kaken.nii.ac.jp/d/r/70447366.ja.html
所属
北海道大学
部署
理学(系)研究科(研究院)
職名
准教授
学位
博士(数理科学)(東京大学)

研究分野

 
 

経歴

 
2015年
   
 
北海道大学 理学(系)研究科(研究院) 准教授
 

Misc

 
Reiji Tomatsu
   2017年5月
We study a relationship between the ultraproduct of a crossed product von
Neumann algebra and the crossed product of an ultraproduct von Neumann algebra.
As an application, the continuous core of an ultraproduct von Neumann algebra
is described.
Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
   2015年1月
The Haagerup approximation property (HAP) is defined for finite von Neumann
algebras in such a way that the group von Neumann algebra of a discrete group
has the HAP if and only if the group itself has the Haagerup property. The HAP
has been studi...
Reiji Tomatsu, Yoshimichi Ueda
   2014年12月
We prove that, for any type IIITex free product factor, its continuous core
is full if and only if its Tex-invariant is the usual topology on the real
line. This trivially implies, as a particular case, the same result for free
Araki--Woods fa...
Martijn Caspers, Rui Okayasu, Adam Skalski, Reiji Tomatsu
   2014年4月
The notion of the Haagerup approximation property, originally introduced for
von Neumann algebras equipped with a faithful normal tracial state, is
generalized to arbitrary von Neumann algebras. We discuss two equivalent
characterisations, one in ...
Rui Okayasu, Reiji Tomatsu
   2014年3月
We introduce the notion of the Tex-Haagerup approximation property for
Tex using a one-parameter family of positive cones studied by
Araki and show that the Tex-Haagerup approximation property actually does
not depend on a...