C. Winslow, CROSSED-PRODUCTS OF PI(1)-SUBFACTORS BY STRONGLY OUTER ACTIONS, Transactions of the American Mathematical Society, 347(3), 1995, pp. 985-991
We study the crossed product A x G superset of or equal to B x G of an
inclusion A superset of or equal to B of type II1-factors by a discre
te strongly outer action G. In particular, we find conditions under wh
ich the strong amenability of A superset of or equal to B implies that
of A x G superset of or equal to B x G, and vice versa.