Invertibility and topological stable rank for semi-crossed product algebras
نویسندگان
چکیده
منابع مشابه
Topological stable rank of nest algebras
We establish a general result about extending a right invertible row over a Banach algebra to an invertible matrix. This is applied to the computation of right topological stable rank of a split exact sequence. We also introduce a quantitative measure of stable rank. These results are applied to compute the right (left) topological stable rank for all nest algebras. This value is either 2 or in...
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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 fr...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1990
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181073125