1.2k citations
- University of Maryland, College ParkUS50 papers
- California Institute of TechnologyUS42 papers
- Rutherford Appleton LaboratoryGB41 papers
- Stanford UniversityUS38 papers
- Massachusetts Institute of TechnologyUS36 papers
- The University of Texas at AustinUS35 papers
- University of BirminghamGB35 papers
- University of Massachusetts AmherstUS31 papers
- Heidelberg UniversityDE30 papers
- University of ManchesterGB30 papers
- University of British ColumbiaCA29 papers
- University of South CarolinaUS29 papers
6 papers · 2 filters
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…