The 𝐶*-algebras of Reeb foliations are not AF-embeddable

Author:

Fack Thierry,Wang Xiaolu

Abstract

It is shown that the C {C^ * } -algebras of Reeb foliations cannot be embedded into AF-algebras.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

1. L. Brown, Extensions of AF-algebras: the projection lifting problem, Proc. Symp. Pure Math., Vol. 38 1982, Part I, 175-176.

2. A survey of foliations and operator algebras;Connes, A.,1982

3. Stabilité des 𝐶*-algèbres de feuilletages;Hilsum, M.;Ann. Inst. Fourier (Grenoble),1983

4. Embedding some transformation group 𝐶*-algebras into AF-algebras;Pimsner, Mihai V.;Ergodic Theory Dynam. Systems,1983

5. Imbedding the irrational rotation 𝐶*-algebra into an AF-algebra;Pimsner, M.;J. Operator Theory,1980

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