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

页码：1397 / 1407

页数：11

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