Stacey Crossed Products Associated to Exel Systems
Stacey Crossed Products Associated to Exel Systems
复制标题
Stacey Crossed 与 Exel Systems 相关的产品
DOI：
10.1007/s00020-012-1949-9
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
I. Raeburn
中科院分区：
文献类型：
--
作者：
Astrid an Huef;I. Raeburn
aC*-代数的自同态有许多不同的交叉积，Exel和Stacey的构造被证明特别有用。在这里，我们考虑Exel交叉产品相关联的转移运营商扩展到单位的乘子代数。我们证明了每个Exel交叉积同构于Stacey交叉积，尽管是通过不同的C *-代数的不同自同态。我们将这一结果应用到各种Exel系统，包括与有向图的路径空间上的移位相关的系统。
There are many different crossed products by an endomorphism of aC*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we consider Exel crossed products associated to transfer operators which extend to be unital on the multiplier algebra. We show that every Exel crossed product is isomorphic to a Stacey crossed product, though by a different endomorphism of a differentC*-algebra. We apply this result to a variety of Exel systems, including those associated to shifts on the path spaces of directed graphs.