46 citations
5 papers
On the radical of a monomial ideal
Juergen Herzog, Yukihide Takayama, Naoki Terai
Algebraic and combinatorial properties of a monomial ideal and its radical are compared.
Higgs Masses in the Minimal SUSY SO(10) GUT
Takeshi Fukuyama, Amon Ilakovac, Tatsuru Kikuchi +2
We explicitly show that minimal SUSY SO(10) Higgs-Higgsino mass matrices evaluated by various groups are mutually consistent and correct. We comment on the corresponding results of…
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…
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…
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)\…