On the stable rank of algebras of operator fields over metric spaces

Details On the stable rank of algebras of operator fields over metric spaces On the stable rank of algebras of operator fields over metric spaces

2002-05-10

arxiv.org/abs/math/0205119v1

Mathematics

Operator Algebras

6 pages, amstex file

Scientific paper

Let G be a finitely generated, torsion-free, two-step nilpotent group. Let C^*(G) be the universal C^*-algebra of G. We show that acsr(C^*(G)) = acsr(C((\hat{G})_1)), where for a unital C^*-algebra A, acsr(A) is the absolute connected stable rank of A, and (\hat{G})_1 is the space of one-dimensional representations of G. For the case of stable rank, we have close results. In the process, we give a stable rank estimate for maximal full algebras of operator fields over a metric space.

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