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911()

FVo@(吔)

 13F30--14F30 G@(C) P[[ʑƏ]Q̈lߍ݂ɂ {͌lƂ̋łBUQ̃oibnԂւ̖ߍ݂V_Ō邱Ƃ{u̖ڕWłBLUQ̏WɃP[[ʑƌĂ΂ʑƁA̌Q_Ƃ݂ȂԂl邱Ƃł܂BP[[ʑԂ𒲂ׂ邱ƂɂA[Ԃ\邱Ƃł܂BƂ΁AWK؂ɑIԂƂɂL^Q̗ $X$ qxgԂɖߍ߂邱Ƃ킩܂B 14F45--15F45 ؗI@(吔) $\mathrm{C}^*$ Haagerup property property (T) $\mathrm{C}^*$̍ $\mathrm{C}^*$_ɋߔNꂽ Haagerup property property (T) Ɋւ錤D܂ Haagerup property property (T) $\mathrm{C}^*$̗ꂼЉĎC2̔w藝ЉC̒藝̉pƂēɁCBekka ̒藝 Robertson ̒藝nƂď]ƂDŌ relative property (T) Haagerup property ̊Ԃ̔wCrelative property (T) C̋̓IȗUQ̔Q $\mathrm{C}^*$ɑ΂čsЉD Ql : Yuhei Suzuki, Haagerup property for $\mathrm{C}^*$-algebras and rigidity of $\mathrm{C}^*$-algebras with property (T), arXiv:1212.5030, J. Funct. Anal. (to appear) 16F00--17F00 Α@(吔) On nuclearity of $\mathrm{C}^*$-algebras of Fell bundles over étale groupoids The Fell bundle $\mathrm{C}^*$-algebra is a unified construction of groupoid $\mathrm{C}^*$-algebras and crossed products, and we can construct most of $\mathrm{C}^*$-algebras which we usually handle from Fell bundles over groupoids. I showed that if $E$ is a Fell bundle over an amenable étale locally compact Hausdorff groupoid such that every fiber on the unit space is nuclear, then $C_r^*(E)$ is also nuclear. In the case of discrete groups, Abadie-Vicens and Quigg have already proved this theorem independently.

912()

FcrF@()

 10F00--11F00 ɖĎ@() ԕ$\mathrm{C}^*$̐ۓ pf̐ۓ_̌, 1972NKadisonKastlerɂĎn߂ꂽ. ȒJƋ, P$\mathrm{C}^*$̕܊֌Wɑ΂钆ԕ$\mathrm{C}^*$̐ۓ. PʓIȒP$\mathrm{C}^*$, wLȒP$\mathrm{C}^*$Ă, \߂ԕ$\mathrm{C}^*$̓j^^ƂȂ.{uł, ̌ʂɂďЉ. 11F15--12F15 c@(吔) A classification of flows on AFD factors with faithful Connes-Takesaki modules We classify flows on AFD factors with faithful Connes-Takesaki modules. This is a generalization of a classification of trace-scaling flows on the AFD type $\mathrm{II}_\infty$ factor. In order to do this, we show that flows on AFD factors with faithful Connes-Takesaki modules have the Rohlin property. We also show that a characterization problem of the Rohlin property for flows on AFD $\mathrm{III}_0$ factors reduces to that of flows on the AFD $\mathrm{II}_\infty$ factor.

@@@Lunch Time

Fǌj@(c)

 13F30--14F30 NF@(嗝) UHFz$\mathrm{C}^*$ɂ鎩ȓ^̋ߎIj^l M. Rørdam showed that two automorphisms in a Kirchberg algebra are approximately unitarily equivalent, if they have the same invariants in the@KL-group. In that same period, E. Kirchberg obtained an abstract proof of this result based on unsuspended Connes-Higson's E-theory. On the other hand, for stably finite cases H. Lin showed analogous results of Rørdam's theorem by using the condition of tracial rank zero. In the present work, we show an alternative proof of H. Lin's theorem in a similar way of Kirchberg's strategy. 14F45--15F45 cIv@(t) Finite group actions on certain stably projectionless $\mathrm{C}^*$-algebras {uł, stably projectionless $\mathrm{C}^*$̗LQpɑ΂ Rohlin ܂B܂, $\mathcal{W}$ ƌĂ΂ stably projectionless $\mathrm{C}^*$ւ̗LQp̗ʂȃNX̍p̕ނɂčl܂B 16F00--17F00 N@(k) $\mathrm{I}$ ^łȂ$\mathrm{C}^*$̎ȓ^ Glimm ̒藝́A$\mathrm{I}$ ^łȂ$\mathrm{C}^*$UHF悻ߍ܂ 邱Ƃ咣Ă܂B̘bgāÂ悤$\mathrm{C}^*$̎ȓ^UHF ̐ό^̎ȓ^悻ߍ܂邱ƂƓlȏ𒲂ׂ܂B

913()

Fˏ採@(k嗝)

 10F00--11F00 rIP@(吔) On full group $\mathrm{C}^*$-algebra of discrete quantum groups UʎqQ̕܂ full group $\mathrm{C}^*$-algebra ̕܂ɉ邩ƂWangɂĒNꂽB{uł́AʂɃRpNgʎqQ̍p$\mathrm{C}^*$̕܂ɂčlAؖ^B 11F15--12F15 D@(吔) Strong solidity of $\mathrm{I\!I}_1$ factors of free quantum groups We generalize Ozawa's bi-exactness to discrete quantum groups and give a new sufficient condition for strong solidity, which implies the absence of Cartan subalgebras. As a corollary, we prove that $\mathrm{I\!I}_1$ factors of free quantum groups are strongly solid. We also consider similar conditions on non-Kac type quantum groups, namely, non finite von Neumann algebras.