Operator algebras conference in memory of Étienne Blanchard

Irreducible amenable subalgebras and Connes’ bicentralizer problem

12 avr. 2019, 10:30

50m

0 27C (Halle aux Farines)

Abstract

Orateur

Cyril Houdayer (Univ. Paris Sud)

Description

We investigate the structure of irreducible inclusions of type III factors. We relate the problem of existence of irreducible amenable subalgebras to Connes’ bicentralizer problem. Among other results, we prove a relative version of Haagerup’s bicentralizer theorem and use it to solve Kadison’s problem for discrete inclusions. Based on joint work with H. Ando, U. Haagerup and A. Marrakchi.