Title: On MASAs in $q$-deformed von Neumann algebras,
Abstract: We study certain $q$-deformed analogues of the maximal abelian subalgebras of
the group von Neumann algebras of free groups. The radial subalgebra is defined
for Hecke deformed von Neumann algebras of the Coxeter group
$(\mathbb{Z}/{2\mathbb{Z}})^{\star k}$ and shown to be a maximal abelian
subalgebra which is singular and with Pukánszky invariant $\{\infty\}$.
Further all non-equal generator masas in the $q$-deformed Gaussian von Neumann
algebras are shown to be mutually non-unitarily conjugate.