Some notes on Property A
By Rufus Willett. 2006
96 citations recorded by the source corpus.
We provide an expository account of Guoliang Yu's property A. The piece starts from the basic definitions, and goes on to discuss closure properties of the class of property A spaces (and groups) and the relationship of property A to coarse embeddability problems, operator theory, and amenability. It finishes with some examples of non-property A spaces. We also include an annotated bibliography covering much of the related literature.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3409325612469c4ac6c1cf9921b0e4d8b485524c
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In Applied Mathematics
- Rufus Willett
- Ján Špakula
- Martin Finn-Sell
- E. Guentner
- Goulnara Arzhantseva
- Nathanial P. Brown Narutaka Ozawa
In Mathematical Physics
- Rufus Willett
- Martin Finn-Sell
- Ján Špakula
- E. Guentner
- Goulnara Arzhantseva
- Guoliang Yu
- Nathanial P. Brown Narutaka Ozawa
- Damian Osajda
Citations in the corpus
- Coarse Non-Amenability and Coarse Embeddings (2011, background): “Just as with amenability, Property A has a large number of significant applications, see the survey [16].”
- On rigidity of Roe algebras (2011, background): “We will not define property A here as we do not need the usual definition, but instead an equivalent property(2); we refer the reader to [33] for a survey of property A, which has been very widely studied.”
- Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture (2013, background): “To make this formal, we need first to recall the result of Schoenberg [24], where the statement here is taken from [29]:”