1996/10/09 by Hideki Nakamura, Nakamura, Hideki
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA
paper · pdf · doi:10.48550/arxiv.funct-an/9610001
35 pages, no figure, LaTex. Changes suggested by the referee are made. To appear in Journal of the Mathematical Society of Japan
openalex publication_date 1996/10/09 · arxiv created 1997/12/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a Rohlin property for actions of Z2 on UHF algebras and show a noncommutative Rohlin type theorem. Among those actions with the Rohlin property, we classify product type actions up to outer conjugacy. In particular we present two classes of UHF algebras. For UHF algebras in one class, which includes the CAR algebra, there is one and only one outer conjugacy class of product type actions and for UHF algebras in the other class, contrary to the case of actions of Z, there are infinitely many outer conjugacy classesof product type actions.