DENSITY OF THE SELF-ADJOINT ELEMENTS WITH FINITE SPECTRUM IN AN IRRATIONAL ROTATION C-STAR-ALGEBRA

被引：32

作者：

CHOI, MD

ELLIOTT, GA

机构：

[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

[2] UNIV COPENHAGEN,INST MATH,DK-2100 COPENHAGEN,DENMARK

来源：

MATHEMATICA SCANDINAVICA | 1990年 / 67卷 / 01期

关键词：

D O I：

10.7146/math.scand.a-12321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that, for a dense set of values of the irrational number theta, any self-adjoint element of the irrational rotation C*-algebra A-theta can be approximated in norm by one which has finite spectrum (and, what is more, by one which has Cantor spectrum).

引用

页码：73 / 86

页数：14

共 18 条

[1]

Bhatia R, 1987, PITMAN RES NOTES MAT, V162, pviii+129

[2] SKEW PRODUCTS OF RELATIONS AND THE STRUCTURE OF SIMPLE CSTAR-ALGEBRAS [J].