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ISSN 1880-2818

数理解析研究所講究録 1587

作用素環論の新展開

京都大学数理解析研究所

2008 4

(2)

RZMS K6kyOroku Z587

New development of 0perator Aigebras

ApriL 2008

Research institute for Mathematical Sciences

Kyoto U)pzivensity, Zklyoto, Jiapan

This is a report of research done at Research lnstitute for Mathernatrcal Sciences, Kyoto Umversity The papers contamed herem are m tinal form

and will not be submitted for publicatron elsewhere

(3)

作用素環論の新展開 New development of Operator Algebras

RIMS研究集会報告集

2007910{}9˜ 12

研究代表者 松本 健吾(Kengo Matsumoto)

目 次

1 Equivalence relations on measure spaces and von Neumann algebras

一一 One.COCYCIeS and coactlonsee-eee-ee.eee.et一.一一.t一.一ep...eee-ee. 一.eeee一一一e-a-e一一一 n一.一一.一 .e 1 北大・理学(Hokkaldo U) 山ノ内 毅彦(Takehlko Yamanouchi) 2 Equivalence relations on measure spaces and von Neumann algebras

一一the nOrmahty and the commensurablllty一 一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一12 山梨英和大・人間文化(Yamanashi Elwa・U)青井 久(Hlsash1 Aoi)

3 Supersymmetric conformal field theory and operator algebras一・一一・・一・一一一・・一・一・・一一一22 東大・数理科学(UTokyo) 河東 泰之(Yasuyuki Kawahigash1)

4 NONCOMMUTATIVE TORI AND MIRROR SYMMETRY e一 一 e e ee一 e 一 一 一 27

京大・数理研(Kyoto U) 梶浦 宏成(Hrroshige KaJ iura) 5 DIGEST OF THE CARTAN PAPER BY OZAWA AND POPA e一一一一e e ekm一一 73

東大・数理科学(UTokyo) 小沢 登高(Narutaka・Ozawa)

6 Twisted Bernoulh shift actions of Z2

×

SL(2, Z) and

therr COMMUtMg aUtOMOrphlsMs一一e.一一一一一一一一一一一一一一pt一一一e一一ee一.e一 eee一一e-ee-ee一一.一e一一 一一一一一一一ee-eee 95 東大・数理科学(UTokyo) 酒匂 宏樹(Hrrok1 Sako)

7コンパクト量子群作用のガロワ対応について 一一....一.一・ ・。.一.一一、b.一。100 東大・数理科学(UTokyo) 戸松 玲治(Rer 1 Tomatsu)

8 ON LOCALIZED AUTOMORPMSMS OF THE CUNTZ ALGEBRAS

WHICH PRESERVE THE DIAGONAL SUBALGEBRA e 一一 e b一一一 一pe 一一 109

UNewcastle WoJ ciech Szymatiski

9 ON ORBITAL FREE ENTROPY DIMEN SION de ee一一一 一 一 一一一一一 一一一 116 九大・数理学(Kyロshu U)植田 好道(Yoshmlchl Ueda) 1 O Hilbert representations of quivers and extended Dynlrm diagrams一一一一一一一一一一一一一一一一一一一一一一一125

九大・数理学(Kyushu U)綿谷 安男(Yasuo Watatam)

1 1 QUASI FREE FI NITE GROUP ACTIONS ON THE CUNTZ ALGEBRA Ocoe135 京大・理学(Kyoto U) 泉 正己(Masaki iZun11)

参照

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