The 17th Korea Operator Algebra Seminar (KOAS)
November 29-30, 2019
서울치의학교육원(모임공간 SIDA, 사당역 인근)
This seminar is a regular meeting for Korean operator algebraists focusing on recent developments on operator algebras and their various connections to harmonic analysis.
Seminar venue: 서울치의학교육원(모임공간 SIDA) 세미나실
| November 29th, 10:00 - 10:50 Suzuki 1 (Nagoya University) |
| Title: Amenable actions on Kirchberg algebras and applications |
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Abstract: Amenable topological dynamical systems are a useful tool to
bridge amenable and non-amenable phenomena. The subject of this talk is its (highly) non-commutative variant, particularly amenable actions on Kirchberg algebras. In the first talk, I would like to review my constructions of amenable actoins on simple C*-algebras. This particularly solves two questoins of Anantharaman-Delaroche. In the second talk, I will show applications of the actions given in the first talk; for instance, constructions of amenable group
actions with wild fixed point algebras, purely infinite analogue of Dadarlat's modeling theorem, etc. Based on my articles arXiv:1801.06949, arXiv:1805.02077, arXiv:1905.13004, arXiv:1908.02971.
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| 10:50 - 11:10 Coffee break |
| 11:10 - 12:00 Suzuki 2 (Nagoya University) |
| 12:10 - 14:00 Lunch break |
| 14:00 - 14:50 Arano 1 (Kyoto University) |
| Title: Rokhlin actions of fusion categories |
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Abstract: Actions of tensor category naturally arises in the classifications of subfactors or subalgebras. I will introduce the Rokhlin property for actions of tensor categories and how we use this property to classify certain inclusion of simple C*-algebras. |
| 14:50 - 15:10 Coffee break |
| 15:10 - 16:00 Arano 2 (Kyoto University) |
| November 30th, 10:00 - 12:00 Discussion |
Organizing Committee: 이훈희(서울대), 이현호(울산대)
