Geodesic
On the structure of real injective $W^*$-factors of type III$_{\lambda}$, $0\lambda1$
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 26, Tome 255 (1998), pp. 148-163 
A. A. Rakhimov. On the structure of real injective $W^*$-factors of type III$_{\lambda}$, $0<\lambda<1$. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 26, Tome 255 (1998), pp. 148-163. http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a9/
@article{ZNSL_1998_255_a9,
     author = {A. A. Rakhimov},
     title = {On the structure of real injective $W^*$-factors of type {III}$_{\lambda}$, $0<\lambda<1$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {148--163},
     year = {1998},
     volume = {255},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_255_a9/}
}
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We consider $*$-automorphisms and $*$-antiautomorphisms of real and complex factors. We establish both the uniqueness of the class of $*$-automorphisms (with $\mod(\cdot )=\lambda$, $\lambda\ne1$) of a real injective II$_\infty$ factor and the uniqueness of the class of $*$-antiautomorphisms (with$\mod(\cdot )=\sqrt{\lambda}$, $\lambda\ne1$) of a complex injective II$_\infty$ factor. It is well known that for complex factors the notions of hyperfiniteness and injectivity are equivalent. Here we prove that for real factors the two notions are no longer equivalent.