Maximal amenability of the generator subalgebra in -Gaussian von Neumann algebras
arXiv:1609.08542
Abstract
In this article, we give explicit examples of maximal amenable subalgebras of the -Gaussian algebras, namely, the generator subalgebra is maximal amenable inside the -Gaussian algebras for real numbers with its absolute value sufficiently small. To achieve this, we construct a Riesz basis in the spirit of Rădulescu and develop a structural theorem for the -Gaussian algebras.
34 pages. Comments are welcome!