Maximal amenability of the generator subalgebra in $q$-Gaussian von   Neumann algebras
  In this article, we give explicit examples of maximal amenable subalgebras of the $q$-Gaussian algebras, namely, the generator subalgebra is maximal amenable inside the $q$-Gaussian algebras for real numbers $q$ with its absolute value sufficiently small. To achieve this, we construct a Riesz basis in the spirit of R\u{a}dulescu and develop a structural theorem for the $q$-Gaussian algebras. 
Sandeepan Parekh, Koichi Shimada, Chenxu Wen
math.OA