most citedHiggs Masses in the Minimal SUSY SO(10) GUT

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math.OA2004★ 5 cited

Furstenberg transformations on irrational rotation algebras

Hiroyuki Osaka, N. Christopher Phillips

We introduce a general class of automorphisms of rotation algebras, the noncommutative Furstenberg transformations. We prove that fully irrational noncommutative Furstenberg transf…

math.OA2004★ 2 cited

Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property

Hiroyuki Osaka, N. Christopher Phillips

We introduce the tracial Rokhlin property for automorphisms of stably finite simple unital C*-algebras containing enough projections. This property is formally weaker than the vari…

math.OA2004

The Rokhlin property and the tracial topological rank

Huaxin Lin, Hiroyuki Osaka

Let be a unital separable simple \CA with $\tr(A)\le 1$ and be an automorphism. We show that if satisfies the tracially cyclic Rokhlin property then $\tr(A\rtimes_α\Z)\…