Von Neumann algebras and Boolean valued analysis

Gaisi TAKEUTI

doi:10.2969/jmsj/03510001

Gaisi TAKEUTI

Author information

JOURNAL FREE ACCESS

1983 Volume 35 Issue 1 Pages 1-21

DOI https://doi.org/10.2969/jmsj/03510001

Details

Published: 1983 Received: March 30, 1981 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Diximier, Les algèbres d'opérateurs Bans l'espace Hilbertien, 2nd. ed., Gauthier-Villars. Paris, 1969.
2) F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., 37(1936), 116-229.
3) M. Takesaki, Theory of operator algebra I, Springer, New York, 1979.
4) M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131(1973), 249-310.
5) G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
6) G. Takeuti, Boolean valued analysis, Applications of sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, 1979.
7) G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
8) G. Takeuti, Boolean completion and m-convergence, Categorical aspects of topology and analysis, Ed. by B. Banaschewski, 333-350, Lecture Notes in Math., 915, Springer, 1982.

Right : [1] J. Diximier, Les algèbres d'opérateurs dans l'espace Hilbertien, 2nd. ed., Gauthier-Villars. Paris, 1969.
[2] F. J. Murray and J. von Neumann, On rings of operators, Ann. of Math., 37(1936), 116-229.
[3] M. Takesaki, Theory of operator algebra I, Springer, New York, 1979.
[4] M. Takesaki, Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math., 131(1973), 249-310.
[5] G. Takeuti, Two applications of logic to mathematics, Iwanami and Princeton University Press, Tokyo and Princeton, 1978.
[6] G. Takeuti, Boolean valued analysis, Applications of sheaves, Ed. by Fourman, Mulvey and Scott, 714-731, Lecture Notes in Math., 753, Springer, 1979.
[7] G. Takeuti, A transfer principle in harmonic analysis, J. Symbolic Logic, 44 (1979), 417-440.
[8] G. Takeuti, Boolean completion and m-convergence, Categorical aspects of topology and analysis, Ed. by B. Banaschewski, 333-350, Lecture Notes in Math., 915, Springer, 1982.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!