日時：2015年12月12日(土)13日(日)
〒6696195 兵庫県豊岡市城崎町桃島10571
〒6696101 兵庫県豊岡市城崎町湯島573
アクセス：京都駅 11:25発  特急きのさき５号  13:49着 城崎温泉駅
大阪駅 11:11発  特急こうのとり７号  11:43着 福知山駅 11:45 発  特急きのさき５号  13:49 着 城崎温泉駅
大阪駅 9:20発 (新大阪駅 9:30発)  全但バス  12:41着 城崎温泉駅
プログラム
14:30〜15:30 
David E Evans
Cardiff Univ. 
Ktheoretic approach to modular invariance in Conformal Field Theory and Subfactors.
I will describe recent work with Terry Gannon on the realisation of modular invariants for twisted doubles of finite groups through bivariant Kasparov theory. 
15:45〜16:45 
Thierry Giordano Univ. of Ottawa 
Approximate transitivity: an overview of this notion introduced by A. Connes and E.J. Woods
In 1981, A. Connes and E.J. Woods introduced the definition of an approximate transitive (AT) action of a group $G$ to characterize the flow of weights of the Araki Woods factors of type III. A few years later they proved that the Poisson boundary of a (time dependent) random walk on $G$ is an amenable and AT space. In this talk, I will review the notion of approximate transitivity and present some new developments. 
18:30〜21:00 
懇親会 

9:30〜10:30 
Hun Hee Lee
Seoul National Univ. 
Similarity degree of Fourier algebras
Pisier introduced the concept of similarity degree to attack the problem of Dixmier's similarity problem and Kadison's similarity problem in the same context. In this talk we will explain Pisier's similarity degree for completely contractive Banach algebras and apply to the case of Fourier algebra $A(G)$. We will show that for infinite QSIN groups (containing amenable or discrete groups) the similarity degree of the corresponding Fourier algebra is exactly 2. As a consequence we prove the following Fourier algebra version of Dixmier's similarity problem: any cbhomomorphism from $A(G)$ to $B(H)$ is similar to $*$representation. 
10:45〜11:45 
松本 健吾 上越教育大 
Full groups of CuntzKrieger algebras
and HigmanThompson groups
（joint work with Hiroki Matui)
In 1960's, R. J. Thompson has initiated a study of finitely presented simple infinite groups. He has discovered first two such groups written $V_2$ and $T_2$. G. Higman has generalized the group $V_2$ to infinite family of finitely presented infinite groups. One of such family is the groups written $V_N, 2\leq N \in {\mathbb{N}}$ which are called the HigmanThompson groups. They are finitely presented and their commutator subgroups are simple. In this talk, we generalize the HigmanThompson groups $V_N, 2\leq N \in {\mathbb{N}}$ by using the continuous full groups $\Gamma_A$ of a onesided topological Markov shift $(X_A,\sigma_A)$ for an irreducible matrix $A$ with entries in $\{0,1\}$. They are realized as equivalence classes of unitary groups of normalizers of the CuntzKrieger algebras with its canonical MASA. The isomorphism class of the group $\Gamma_A$ determines the continuous orbit equivalence class of the onesided topological Markov shift $(X_A,\sigma_A)$, the isomorphism class of the CuntzKrieger algebra ${\mathcal{O}}_A$ and $\det(1A)$. We will show that the group $\Gamma_A$ can be represented as a group $\Gamma_A^{\operatorname{tab}}$ of matrices, called $A$adic tables, with entries in admissible words of the shift space $X_A$, and a group $\Gamma_A^{\operatorname{PL}}$ of right continuous piecewise linear functions, called $A$adic PL functions, on $[0,1]$ with finite singularities. I will also talk about some related topics. 
参加者名簿(2015/11/12更新)