On the topological stable rank of non-selfadjoint operator algebras

被引：11

作者：

Davidson, K. R. ^{[1
]}

Levene, R. H. ^{[2
]}

Marcoux, L. W. ^{[1
]}

Radjavi, H. ^{[1
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

[2] Queens Univ Belfast, Dept Pure Math, Belfast BT7 1NN, Antrim, North Ireland

来源：

MATHEMATISCHE ANNALEN | 2008年 / 341卷 / 02期

关键词：

D O I：

10.1007/s00208-007-0180-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a negative solution to a question of M. Rieffel who asked if the right and left topological stable ranks of a Banach algebra must always agree. Our example is found amongst a class of nest algebras. We show that for many other nest algebras, both the left and right topological stable ranks are infinite. We extend this latter result to Popescu's non-commutative disc algebras and to free semigroup algebras as well.

引用

页码：239 / 253

页数：15

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