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

Ping Wong Ng·Takahiro Sudo
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Abstract

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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Ping Wong Ng, Takahiro Sudo. 2002-05-10. On the stable rank of algebras of operator fields over metric spaces. https://arxiv.org/abs/math/0205119

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