$q$-Araki-Woods algebras: extension of second quantisation and Haagerup   approximation property
  We extend the class of contractions for which the second quantisation on $q$-Araki-Woods algebras can be defined. As a corollary, we prove that all $q$-Araki-Woods algebras possess the Haagerup approximation property. 
Mateusz Wasilewski
math.OA