Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-02T20:43:16.639Z Has data issue: false hasContentIssue false
  • English
  • Français

Embedding some transformation group C*-algebras into AF-algebras

Published online by Cambridge University Press:  19 September 2008

Mihai V. Pimsner
Mihai V. Pimsner
Affiliation:
Department of Mathematics, National Institute for Scientific and Technical Creation, Bd. Pacii 220, 79622 Bucharest, Romania
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For a homeomorphism of a compact metrizable space X, we show that the property that every point of X is pseudo-non-wandering (see definition 2) is equivalent to the possibility of embedding the corresponding transformation group C*-algebra into an AF-algebra.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 613 - 626
Copyright
Copyright © Cambridge University Press 1983

References

REFERENCES

[1]Bowen, R.. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics No. 470. Springer-Verlag: Heidelberg-New York-London, 1975.CrossRefGoogle Scholar
[2]Halmos, P. R.. Quasitriangular operators. Acta Sci. Math. (Szeged) 29 (1968), 283–293.Google Scholar
[3]Pedersen, G. K.. C*-Algebras and Their Automorphism Groups. Academic Press: London-New York-San Francisco, 1979.Google Scholar
[4]Pimsner, M. V. & Voiculescu, D. V.. Imbedding the irrational rotation C*-algebra into an AF-algebra. J. Operator Theory 4 (1980), 201–210.Google Scholar
[5]Salinas, N.. Homotopy invariance of Ext(A). Duke Math. J. 44 (1977), 777–794.CrossRefGoogle Scholar
[6]Vershik, A. M.. Uniform algebraic approximation of the multiplication and translation operators. (In Russian.) Doklady Akad. Nauk. (1981).Google Scholar
[7]Voiculescu, D. V.. A non-commutative Weyl-von Neumann theorem. Rev. Roum. Math. Pures et Appl. 21 (1976), 97–113.Google Scholar