Examples of subfactors with property T standard invariant

Let H and K be two finite groups with a properly outer action on the II1 fa ctor M. We prove that the standard invariant of the group type inclusion M- H subset of M x K, studied in detail in [BiH], has property T in the sense of [Po6] if and only if the group generated by H and K in the outer automor phism group of M has Kazhdan's property T [K]. This construction yields irr educible, infinite depth subfactors with small Jones indices and property T standard invariant.