Homogeneity of the pure state space of the Cuntz algebra

被引：8

作者：

Bratteli, O

Kishimoto, A

机构：

[1] Univ Oslo, Math Inst, N-0316 Oslo, Norway

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 171卷 / 02期

关键词：

D O I：

10.1006/jfan.1999.3539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If omega(1), omega(2) are two pure gauge-invariant states of the Cuntz algebra O-d, we show that there is an automorphism alpha of O-d such that omega(1) = omega(2) circle alpha. If omega is a general pure state on O-d and phi(0) is a given Cuntz state, we show that there exists an endomorphism alpha of O-d such that phi(0) = omega circle alpha. (C) 2000 Academic Press.

引用

页码：331 / 345

页数：15

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