研究者業績

岡安 類

オカヤス ルイ  (Rui Okayasu)

基本情報

所属
大阪教育大学 理数情報教育系 准教授
学位
修士(数理科学)(東京大学)
Doctor(Science)(Kyoto University)
博士(理学)(京都大学)

研究者番号
70362746
J-GLOBAL ID
200901009386720920
researchmap会員ID
5000053551

外部リンク

研究キーワード

 1

論文

 17
  • 岡安 類, 貞末 岳, 瀬尾 祐貴, 柳本 朋子, 深澤 優子, 鈴木 康文, 田中 伸治, 今澤 宏太, 島橋 尚吾
    大阪教育大学紀要 人文社会科学・自然科学 71 45-67 2023年2月  査読有り
  • 岡安 類
    数学教育研究 2023年  査読有り
  • Publications of Research Institute for Mathematical Sciences, Kyoto university 2022年  査読有り
  • Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
    Mathematica Scandinavica 121(1) 75-91 2017年  査読有り
    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 studied extensively for finite von Neumann algebras and it was recently generalized to arbitrary von Neumann algebras by Caspers-Skalski and Okayasu-Tomatsu. One of the motivations behind the generalization is the fact that quantum group von Neumann algebras are often infinite even though the Haagerup property has been defined successfully for locally compact quantum groups by Daws-Fima-Skalski-White. In this paper, we fill this gap by proving that the von Neumann algebra of a locally compact quantum group with the Haagerup property has the HAP. This is new even for genuine locally compact groups.
  • Rui Okayasu, Reiji Tomatsu
    Journal of Operator Theory 75(2) 259-288 2016年  査読有り
    We introduce the notion of the a-Haagerup approximation property (α-HAP) for α ∈ [0, 1/2] using a one-parameter family of positive cones studied by Araki and show that the a-HAP actually does not depend on the choice of α. This enables us to prove the fact that the Haagerup approximation properties introduced in two ways are actually equivalent, one in terms of the standard form and the other in terms of completely positive maps. We also discuss the Lp-Haagerup approximation property (Lp-HAP) for a noncommutative Lp-space associated with a von Neumann algebra for p ∈ (1,∞) and show the independence of the Lp-HAP on the choice of p.

MISC

 6

書籍等出版物

 2

所属学協会

 1

共同研究・競争的資金等の研究課題

 7