论文标题

Z-ABSORBING C* - 代数的理性AF代数和KMS状态

Rationally AF algebras and KMS states of Z-absorbing C*-algebras

论文作者

Elliott, George A., Sato, Yasuhiko

论文摘要

为了实现江-su代数上的所有可能的kms捆绑,我们引入了一类C* - 代数,我们称其为合理的大约有限维度(RAF)。 Using these, we show that for a given proper simplex bundle $(S, π)$ with a singleton $π^{-1}(\{0\})$ and a unital separable monotracial C*-algebra $A$ absorbing the Jiang-Su algebra tensorially (for instance, the irrational rotation algebra), there exists a flow on $A$ whose KMS-bundle is异态至$(s,π)$。

In order to realize all possible KMS-bundles on the Jiang-Su algebra, we introduce a class of C*-algebras which we call rationally approximately finite dimensional (RAF). Using these, we show that for a given proper simplex bundle $(S, π)$ with a singleton $π^{-1}(\{0\})$ and a unital separable monotracial C*-algebra $A$ absorbing the Jiang-Su algebra tensorially (for instance, the irrational rotation algebra), there exists a flow on $A$ whose KMS-bundle is isomorphic to $(S, π)$.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源