Abstract
The absorption theorem is the main result in this chapter and is the key tool we will use to classify up to orbit equivalence minimal AF-equivalence relations and étale equivalence relations associated to minimal actions on the Cantor set of finitely generated abelian groups. This key result shows that a “small” extension of a minimal AF-equivalence relation is orbit equivalent to the original one.
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Giordano, T., Kerr, D., Phillips, N.C., Toms, A. (2018). The Absorption Theorem. 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_21
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DOI: https://doi.org/10.1007/978-3-319-70869-0_21
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