Abstract
The aim of this work is the proof of a Theorem caracterising the invariantS(\(\mathfrak{A}\)), in a constructible factor, whenG is an ergodic group but not necessarily freely acting on a measure space (Z, m).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Connes, A.: Un nouvel invariant pour les algèbres de von Neumann. C.R. Acad. Sc. Paris273, série A, p. 900 (1971)
Krieger, W.: Journal of Functional Analysis6, 97 (1970)
Connes, A.: Une classification des facteurs de type III. C.R. Acad. Sc. Paris275, série A, p. 523 (1972)
Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 1969
Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications. Lecture notes in Mathematics128. Berlin-Heidelberg-New York: Springer 1970
Krieger, W.: On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space. Contributions to ergodic theory and probability. Lecture notes in Mathematics160. Berlin-Heidelberg-New York: Springer 1970
Connes, A.: Notes manuscriptes (à paraître)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ghez, P., Lima, R. & Testard, D. Une extension d'un théorème de A. Connes sur les facteurs constructibles. Commun.Math. Phys. 32, 305–311 (1973). https://doi.org/10.1007/BF01645611
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01645611