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External Measure-Theoretic Phenomena

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Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

Abstract

As discussed in Section 14.1, for discrete groups the basic idea of internal measuretheoretic finite approximation is captured by the Følner set characterization of amenability. At the same time we can view Følner sets as furnishing external finite approximations in the following way. Let F be a nonempty finite subset of a discrete group G.

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Giordano, T., Kerr, D., Phillips, N.C., Toms, A. (2018). External Measure-Theoretic Phenomena. In: Perera, F. (eds) Crossed Products of C*-Algebras, Topological Dynamics, and Classification. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-70869-0_15

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