Stable rank of holomorphic function 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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Abstract. When a unital C*-algebra A has topological stable rank one (write tsr(A) = 1), we know that tsr(pAp) ≤ 1 for a non-zero projection p ∈ A. When, however, tsr(A) ≥ 2, it is generally faluse. We prove that if a unital C*algebra A has a simple unital C*-subalgebra D of A with common unit such that D has Property (SP) and supp∈P (D) tsr(pAp) < ∞, then tsr(A) ≤ 2. As an application let A be...
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In 1976, Kaplansky introduced the class JB∗-algebras which includes all C∗-algebras as a proper subclass. The notion of topological stable rank 1 for C∗-algebras was originally introduced by M. A. Rieffel and was extensively studied by various authors. In this paper, we extend this notion to general JB∗-algebras. We show that the complex spin factors are of tsr 1 providing an example of special...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1990
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-97-2-85-90