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A crossed product of a skew field of quaternions and four-group

Журнал Белорусского государственного университета: Математика, информатика, 2018
The article considers construction of generalized crossed product of an arbitrary quaternions skew field and Klein four-group relative to factor system. It is well known that such crossed product is semisimple ring.
Valery V. Kursov
doaj

The states associated with approximately inner automorphisms [PDF]

Proceedings of the American Mathematical Society, 1981
Let M M be a I I 1 {\text {I}}{{\text {I}}_1} -factor acting standardly on a Hilbert space H H .
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Classification of approximately inner automorphisms of subfactors [PDF]

Mathematische Annalen, 1997
For classification of approximately inner automorphisms of subfactors, we introduce a new invariant, a higher obstruction. From an algebraic viewpoint, this can be regarded as a generalization of the Connes obstruction, and from an analytic viewpoint, this can be regarded as a generalization of the Jones invariant \(\kappa\). We have two classification
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Almost periodic operators of inner automorphism groups [PDF]

, 1977
F. Javier Thayer
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ON p-AUTOMORPHISMS THAT ARE INNER [PDF]

Bulletin of the Australian Mathematical Society, 2009
AbstractLet G be a group and let CAutΦ(G)(Z(Φ(G))) be the set of all automorphisms of G centralizing G/Φ(G) and Z(Φ(G)). For each prime p and finite p-group G, we prove that CAutΦ(G)(Z(Φ(G)))≤Inn(G) if and only if G is elementary abelian or Φ(G)=Z(G) and Z(G) is cyclic.
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Transitivity and homogeneity of orthosets and inner-product spaces over subfields of R. [PDF]