The Rohlin property for $Z^{2}$-actions on UHF algebras
The Rohlin property for $Z^{2}$-actions on UHF algebras
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DOI：
10.2969/jmsj/05130583
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发表时间：
1999-07
影响因子：
0.7
通讯作者：
Hideki Nakamura
中科院分区：
文献类型：
--
作者：
Hideki Nakamura
。我们证明了超高频代数上Z~2-作用的一个Rohlin型性质，并证明了一个非对易的Rohlin型定理。在那些具有Rohlin性质的作用中，我们将乘积类型作用分类到外共轭。我们考虑两类UHF代数。对于包括CAR代数在内的一类超高频代数，存在且仅有一个乘积型作用的外共轭类，而对于另一类超高频代数，与Z-作用相反，在fi中存在有限多个乘积型作用的外共轭类.
. We define a Rohlin property for Z 2 -actions on UHF algebras and show a non-commutative Rohlin type theorem. Among those actions with the Rohlin property, we classify product type actions up to outer conjugacy. We consider two classes of UHF algebras. For UHF algebras in one class including 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 Z -actions, there are infinitely many outer conjugacy classes of product type actions.