Keywords
- Lebesgue Space
- Amenable Group
- Measurable Partition
- Finite Partition
- Transversal Mapping
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Bibliography
R.M. Belinskaja, Partitionings of a Lebesgue space into trajectories defined by ergodic automorphisms, Funkcional. Anal. i Priložen. 2(1968), No 3, 4–16 (Russian).
H. Dye, On groups of measure preserving transformations,I,II, Amer. J. Math. 81(1959),119–159; 85(1963),551–576.
A. Connes, J. Feldman, B. Weiss, An amenable equivalence relation is generated by a single transformation, Ergod. Th. & Dynam. Sys. 1(1981), 431–450.
Sh. Ito, A construction of transversal flows for maximal Markov automorphism, Second Japan-USSR Symp. on Probab. Theory, Kyoto, v.3(1972), 12–17.
M. Pimsner, D. Voiculescu, Imbedding the irrational rotation C*-algebra into an AF-algebra, J. Operator Theory 4(1980), 201–210.
M.Pimaner, Embedding some transformation group C*-algebras into AF-algebras
A.M. Vershik, On lacunary isomorphism of sequences of dyadic partitions, Funkcional. Anal. i Priložen. 2(1968), No3, 17–21 (Russian).
A.M.Vershik, Decreasing sequences of measurable partitions and their applications, DAN SSSR 193(1970)(Russian)=Sov.Math.Dokl. 11(1970), 1007–1011.
A.M. Vershik, A continuum of pairwise nonisomorphic dyadic sequences, Funkcional. Anal. i Priložen. 5(1971),No3,16–18 (Russian).
A.M. Vershik, Four definitions of a scale of an automorphism, Funkcional. Anal. i Priložen. 7(1973), No3, 1–17 (Russian).
A.M. Vershik, Nonmeasurable partitions, a theory of orbit partitions, and operator algebras, DAN SSSR 199(1971),1004–1007 (Russian)=Sov. Math. Dokl. 12(1971),1218–1222.
A.M. Vershik, Approximation in measure theory, Dissertation, Leningrad, 1974.
A.M. Vershik, Uniform algebraic approximation of shift and multiplication operators, DAN SSSR 259(1981),526–529 (Russian)=Sov. Math. Dokl. 24(1981), 97–100.
A.M. Vershik, A theorem on Markov periodic approximation in ergodic theory, Zap.Nauch.Sem.LOMI 115(1982), 72–82 (Russian)=Ergod.Th. and Related Topics, Math.Research 12(1982), 195–206.
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© 1985 Springer-Verleg
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Lodkin, A.A., Vershik, A.M. (1985). Approximation for actions of amenable groups and transversal automorphisms. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074893
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DOI: https://doi.org/10.1007/BFb0074893
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