TITLE: Hyperfiniteness of CCR algebra
QUESTION [6 upvotes]: Hi, It is known that the double commutant of the CCR algebra in it's GNS space 
with respect to some quasi-free states are always type III factors.
My question is;  Will some of them be hyperfinite factors?

REPLY [5 votes]: Yes, Araki-Woods showed they're always ITPFI factors and ITPFI factors are hyperfinite. See the following:
Araki-Woods, A classification of factors
It's a bit of a monster paper, the stuff on CCR algebras is near the end.