arXiv subjects
Publications and source records attributed to Kenneth Dykema.
The shift on the C^*--algebras generated by the Fock representation of the q--commutation relations has the strong ergodic property of unique mixing, when |q|<1.
We show that for any prime p and for any II$_1$ factor N there exist two $mathbb{Z}_{p^2}$-- actions on the free product factor $*_{1} ^{p}N$ that have the same outer invariant but are not outer conjugate. Therefore, in the case of free product factors, the outer invariant is not a complete invariant for outer conjugacy.