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arXiv · 2503.05329

The radius of comparison for actions of Z^d on simple AH algebras

M. Ali Asadi-Vasfi·Ilan Hirshberg·Apurva Seth
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Abstract

Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action \alpha : Z^d \to Aut(A), such that rc(A)=r and rc (A \rtimes_{\alpha} Z^d)=r'.

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M. Ali Asadi-Vasfi, Ilan Hirshberg, Apurva Seth. 2025-03-07. The radius of comparison for actions of Z^d on simple AH algebras. https://arxiv.org/abs/2503.05329

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