# Kyoto Operator Algebra Seminar

Organizers: Benoit COLLINS, Masaki IZUMI, Narutaka OZAWA.
Time and Location: 14:00 - 15:30 on Tuesday at RIMS 206
Seminar Description: This seminar features both research and introductory talks on topics in Operator Algebra, Noncommutative Geometry, Ergodic Theory, and Group Theory of various kinds (geometric, measure theoretic, functional analytic, etc.). The talks are informal and take between an hour and an hour and a half.
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Memento: 2011  2012  2013  2014  2015  2016

## 2016 Fall/Winter

 September 05-09 KTGU Lecture Sci 3-127 Sorin Popa (UCLA/Kyoto) Paving over arbitrary MASAs in von Neumann algebras 05(M) 15:00 - 17:00,  06(T) 15:00 - 17:00,  07(W) 15:00 - 17:00,  08(T) 15:00 - 17:00,  09(F) 15:00 - 17:00. Motivated by an intriguing claim in Dirac's 1947 book on "Quantum Mechanics", Kadison and Singer have asked the question of whether any pure state on the diagonal maximal abelian subalgebra (MASA) $D$ of $B(H)$ extends to a unique state on $B(H)$. They also showed that this unique pure state extension property is equivalent to norm paving over $D$ for operators in $B(H)$. The Kadison-Singer paving problem has been recently solved in the affirmative by Marcus--Spielman--Srivastava. In these lectures, we will introduce a general paving property for a MASA $A$ in a von Neumann factor $M$, called so-paving, involving approximation in the so-topology, rather than in norm, but which coincides with norm-paving in the case $D\subset B(H)$. We conjecture that so-paving holds true for any MASA in any factor. We check the conjecture in many cases, including singular and regular MASAs in hyperfine factors. Related problems will be discussed. Sep. 12-14 RIMS 420 Recent developments in operator algebras (program) Oct 04 14:00 - 15:30 RIMS 206 TBA (***) TBA tba Oct. 09-11 Maebashi Annual meeting on operator theory & operator algebra theory Oct 18 14:00 - 15:30 RIMS 206 TBA (***) TBA tba Dec 13 14:00 - 15:30 RIMS 206 Raphael Ponge (Seoul) TBA tba

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