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01044 am a22001453u 4500 |
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44249 |
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|a dc
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|a Brodzki, Jacek
|e author
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|a Niblo, Graham A.
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|a Wright, Nick
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|a Property A, partial translation structures and uniform embeddings in groups
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| 260 |
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|c 2007-10-18.
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|z Get fulltext
|u https://eprints.soton.ac.uk/44249/1/bnwLMSrevisedToIncludeRefereeReport-DblSpaced.pdf
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|a We define the concept of a partial translation structure T on a metric space X and we show that there is a natural C*-algebra C*(T) associated with it which is a subalgebra of the uniform Roe algebra C*u(X). We introduce a coarse invariant of the metric which provides an obstruction to embedding the space in a group. When the space is sufficiently group-like, as determined by our invariant, properties of the Roe algebra can be deduced from those of C*(T). We also give a proof of the fact that the uniform Roe algebra of a metric space is a coarse invariant up to Morita equivalence.
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|a Article
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