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Small boundary property, uniform property Gamma, and almost finiteness

No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Liao, Hung-Chang

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Small boundary property, uniform property Gamma, and almost finiteness
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11
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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The small boundary property for topological dynamical systems was introduced by Lindenstrauss to construct small entropy factors. A recent work of Kerr and Szabo showed that this dynamical property is closely related to uniform property Gamma of the crossed product, hence plays an important role in classification of crossed products. In this talk we discuss how to strengthen the connection by considering a relative version of uniform property Gamma. This is a joint work with Aaron Tikuisis.