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arXiv · 2506.00890

Bounded geometry version of property A

V. Manuilov
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Abstract

For uniformly dicrete metric spaces without bounded geometry we suggest a modified version of property A based on metrics of bounded geometry greater than the given metric. We show that this version still implies coarse embeddability in Hilbert spaces, and that some examples of non-property A spaces of unbounded geometry satisfy this version. We also relate this version of property A to our version of uniform Roe algebras for spaces without bounded geometry and introduce an appropriate equivalence relation.

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V. Manuilov. 2025-06-01. Bounded geometry version of property A. https://arxiv.org/abs/2506.00890

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