Bounded geometry version of property A
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913939634257920 |
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| author | Manuilov, V. |
| author_facet | Manuilov, V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00890 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded geometry version of property A Manuilov, V. Metric Geometry Operator Algebras 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. |
| title | Bounded geometry version of property A |
| topic | Metric Geometry Operator Algebras |
| url | https://arxiv.org/abs/2506.00890 |