Bounded geometry version of property A
Metric Geometry
2025-07-15 v2 Operator Algebras
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.
Cite
@article{arxiv.2506.00890,
title = {Bounded geometry version of property A},
author = {V. Manuilov},
journal= {arXiv preprint arXiv:2506.00890},
year = {2025}
}
Comments
Theorem 3.2 and Lemma 5.1 are wrong, as well as results based on them