A NONSPECTRAL DENSE BANACH SUBALGEBRA OF THE IRRATIONAL ROTATION ALGEBRA

被引：0

作者：

SCHWEITZER, LB

机构：

[1] UNIV CALGARY,DEPT MATH,CALGARY T2N 1N4,ALBERTA,CANADA

[2] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 120卷 / 03期

关键词：

SPECTRAL SUBALGEBRA; SPECTRAL INVARIANCE; IRRATIONAL ROTATION ALGEBRA; SIMPLE BANACH ALGEBRA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an example of a dense, simple, unital Banach subalgebra A of the irrational rotation C*-algebra B, such that A is not a spectral subalgebra of B. This answers a question posed by T. W. Palmer (Spectral algebras, Rocky Mountain J. Math. 22 (1992), 293-328).

引用

页码：811 / 813

页数：3