Traces on cores of C*-algebras associated with self-similar maps
Traces on cores of C*-algebras associated with self-similar maps
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与自相似映射相关的 C* 代数核心上的迹
DOI：
10.1017/etds.2013.26
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发表时间：
2014
影响因子：
0.9
通讯作者：
Tsuyoshi Kajiwara and Yasuo Watatani
中科院分区：
文献类型：
--
作者：
Shigeru Furuichi;Kenjiro Yanagi;Ken Kuriyama;Kenjiro Yanagi;Tsuyoshi Kajiwara and Yasuo Watatani
本文对紧度量空间上与自相似映射相关的-代数的核上的极端迹态进行了完全分类。我们列出了它们的完整列表。极端迹态是由支撑在分支点的有限轨道上的测度所给出的离散型迹态与由原自相似集上的哈钦森测度所给出的连续型迹态的联合. [摘要自出版商]遍历理论与动力系统的版权是剑桥大学出版社的财产，其内容未经版权保持器的明确书面许可，不得复制或通过电子邮件发送到多个网站或发布到列表服务器。但是，用户可以打印、下载或通过电子邮件发送文章供个人使用。这篇摘要可以删节。不保证副本的准确性。用户应参考原始出版版本的材料的完整摘要。版权适用于所有摘要。
We completely classify the extreme tracial states on the cores of the-algebras associated with self-similar maps on compact metric spaces. We present a complete list of them. The extreme tracial states are the union of the discrete type tracial states given by measures supported on the finite orbits of the branch points and a continuous type tracial state given by the Hutchinson measure on the original self-similar set.[ABSTRACT FROM PUBLISHER]Copyright of Ergodic Theory & Dynamical Systems is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. Copyright applies to all Abstracts.