Linear Analysis Seminar

Date: February 10, 2017

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Koichi Shimada, Kyoto University

Title: Maximal amenability of generator subalgebras in q-Gaussians

Abstract: In this talk, we present an explicit example of maximal amenable subalgebras of q-Gaussians; if the absolute value of q is small, any subalgebra generated by a q-Gaussian random variable is maximal amenable in the q-Gaussian. We show this based on Popa's theory on the asymptotic orthogonality property. To achieve this, we construct a Riesz basis in the same way as Radulescu did for radial masas of the free group factors. This is a joint work with Sandeepan Parekh and Chenxu Wen.