Tensor Products of Type III Factor Representations of Cuntz-Krieger Algebras

被引：3
|
作者：
Kawamura, Katsunori [1 ]
机构：
[1] Ritsumeikan Univ, Coll Sci & Engn, Kusatsu, Shiga 5258577, Japan
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 05期
关键词：
Tensor product of representations; Cuntz-Krieger algebra; KMS state; Type III factor representation; POLYNOMIAL ENDOMORPHISMS; BRANCHING LAWS; DIRECT SUM; SYSTEMS;
D O I：
10.1007/s10468-012-9362-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduced a non-symmetric tensor product of any two states or any two representations of Cuntz-Krieger algebras associated with a certain non-cocommutative comultiplication in our previous work. In this paper, we show that a certain set of KMS states is closed with respect to the tensor product. From this, we obtain formulae of tensor products of type III factor representations of Cuntz-Krieger algebras which are different from results of the tensor product of factors of type III.
引用
收藏
页码：1397 / 1407
页数：11
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