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Colloquium
Seminar information archive ～06/13｜Next seminar｜Future seminars 06/14～
| Organizer(s) | AIDA Shigeki (chair), IKE Yuichi, IMAI Naoki, HAYASHI Shuhei |
|---|---|
| URL | https://www.ms.u-tokyo.ac.jp/seminar/colloquium_e/index_e.html |
2026/07/17
15:30-16:30 Room #NISSAY Lecture Hall (Graduate School of Math. Sci. Bldg.)
Hiroki Matui (Graduate School of Mathematical Sciences, The University of Tokyo)
Topological Full Groups and C*-Algebras Arising from Dynamical Systems (日本語)
Hiroki Matui (Graduate School of Mathematical Sciences, The University of Tokyo)
Topological Full Groups and C*-Algebras Arising from Dynamical Systems (日本語)
[ Abstract ]
From a minimal dynamical system on a Cantor set, one can construct a countably infinite group called the topological full group. This group has the remarkable property that its commutator subgroup is simple, and various dynamical systems thus give rise to infinite groups with interesting properties. Taking as a main example the Stein groups introduced by Stein in 1992, I will survey and discuss some recent developments in this area. Time permitting, I will also touch on connections with C*-algebras constructed from dynamical systems and their K-groups, as well as with the homology groups of the dynamical systems themselves.
From a minimal dynamical system on a Cantor set, one can construct a countably infinite group called the topological full group. This group has the remarkable property that its commutator subgroup is simple, and various dynamical systems thus give rise to infinite groups with interesting properties. Taking as a main example the Stein groups introduced by Stein in 1992, I will survey and discuss some recent developments in this area. Time permitting, I will also touch on connections with C*-algebras constructed from dynamical systems and their K-groups, as well as with the homology groups of the dynamical systems themselves.
