Coarse Non-Amenability and Coarse Embeddings
By Goulnara Arzhantseva, E. Guentner, Ján Špakula. 2011
56 citations recorded by the source corpus.
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d40b46ade83eebb9ef405c413e0e8b471959aabe
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture (2013, background): “For the spaces constructed in [1, 15] we can go further and say that whilst IG 6= K, there are no non-compact ghost projections in IG (This follows from Proposition 35, as the spaces referenced above have only finite coarse components).”