219 citations
- East China Normal UniversityCN4 papers
- Ritsumeikan UniversityJP3 papers
- California Institute of TechnologyUS2 papers
- Pusan National UniversityKR2 papers
- Académie de ParisFR1 paper
- Boston UniversityUS1 paper
- California Polytechnic State UniversityUS1 paper
- ETH ZurichCH1 paper
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- Hokkaido UniversityJP1 paper
- Indian Statistical InstituteIN1 paper
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8 papers · 1 filter
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…
Classification of homomorphisms and dynamical systems
Huaxin Lin
Let be a unital simple C*-algebra with tracial rank zero and be a compact metric space. Suppose that are two unital monomorphisms. We show that …
Unitary equivalences for essential extensions of -algebras
Huaxin Lin
Let be a unital separable \CA and where is a unital \CA. Let be a weakly unital full essential extensions of by We show tha…
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)\…
Simple nuclear -algebras of tracial topological rank one
Huaxin Lin
We give a classification theorem for unital separable nuclear simple \CA s with tracial rank no more than one. Let and be two unital separable simple nuclear \CA s with $TR…