SUBALGEBRAS OF INFINITE C-ASTERISK-ALGEBRAS WITH FINITE WATATANI INDEXES .1. CUNTZ ALGEBRAS

被引：59

作者：

IZUMI, M

机构：

[1] Research Institute for Mathematical Sciences, Kyoto University, Kyoto

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 155卷 / 01期

关键词：

D O I：

10.1007/BF02100056

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using fusion rules of sectors as a working hypothesis, we construct endomorphisms of the Cuntz algebra O(n) whose images have finite Watatani indices. Quasi-free KMS states on O(n) appear in a natural way associated with the endomorphisms, and we determine the Murray-von Neumann-Connes types of their GNS representations.

引用

页码：157 / 182

页数：26

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