##### Department of Mathematics,

University of California San Diego

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### Math 243 - Functional Analysis Seminar

## Chenxu Wen

#### UC Riverside

## On generators of q-Gaussian algebras

##### Abstract:

For each $-1 < q < 1$, Bozejko and Speicher's q-Gaussian functor is a natural and important generalization of Voiculescu's free Gaussian functor. We study a class of subalgebras of the corresponding q-Gaussian von Neumann subalgebras. We construct a Riesz basis in the spirit of Radulescu in the q-Fock space. Then we use this basis and follow Popa's approach to show that when $|q| < 1/9$ , the generator subalgebras are maximal amenable inside those q-Gaussian algebras. This is joint work with Sandeepan Parekh and Koichi Shimada.

Host: Adrian Ioana

### May 17, 2018

### 2:00 PM

### AP&M 7218

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