Completely positive maps in the tensor products of von Neumann algebras

Masaru NAGISA; Jun TOMIYAMA

doi:10.2969/jmsj/03330539

Masaru NAGISA, Jun TOMIYAMA

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JOURNAL FREE ACCESS

1981 Volume 33 Issue 3 Pages 539-550

DOI https://doi.org/10.2969/jmsj/03330539

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Published: 1981 Received: December 05, 1979 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Applied Faculty of Engineering Osaka University
2) Mathematics Department of Mathematics Science Faculty of Science Niigata University

Right :
1) Department of Applied Mathematics Faculty of Engineering Science Osaka University
2) Department of Mathematics Faculty of Science Niigata University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) W. Arveson, Subalgebras of C^*-algebras, Acta Math., 123 (1969), 141-224.
2) M. D. Choi and E. G. Effros, Injectivity and operator algebras, J. Functional Analysis, 24 (1977), 156-209.
3) J. Dixmier, Les algèbres d'opérateurs Bans 1'espace hilbertien, Gauthier-Villars, Paris, 1969.
4) E. G. Effros, Approximation problems for C^*-algebras, unpublished.
5) U. Haagerup, The standard form of von Neumann algebras, Math. Scand., 37 (1957), 271-283.
6) J. Hakeda and J. Tomiyama, On some extension properties of von Neumann algebras, Tohoku Math. J., 19 (1967), 305-323.
7) M. Takesaki, Singularity of positive functionals, Proc. Japan Acad., 35 (1959), 365-366.
8) J. Tomiyama, On the projection of norm one in W^*-algebras III, Tohoku Math. J., 11 (1959), 125-129.
9) J. Tomiyama, On the tensor product of von Neumann algebras, Pacific J. Math., 30 (1969), 263-270.
10) J. Tomiyama, Tensor products and projections of norm one of von Neumann algebras, Lecture note, Univ. of Copenhagen, 1970.
11) J. Tomiyama, On some types of maximal abelian subalgebras, J. Functional Analysis, 10 (1972), 373-386.

Right : [1] W. Arveson, Subalgebras of C^*-algebras, Acta Math., 123 (1969), 141-224.
[2] M. D. Choi and E. G. Effros, Injectivity and operator algebras, J. Functional Analysis, 24 (1977), 156-209.
[3] J. Dixmier, Les algèbres d'opérateurs dans l'espace hilbertien, Gauthier-Villars, Paris, 1969.
[4] E. G. Effros, Approximation problems for C^*-algebras, unpublished.
[5] U. Haagerup, The standard form of von Neumann algebras, Math. Scand., 37 (1957), 271-283.
[6] J. Hakeda and J. Tomiyama, On some extension properties of von Neumann algebras, Tohoku Math. J., 19 (1967), 305-323.
[7] M. Takesaki, Singularity of positive functionals, Proc. Japan Acad., 35 (1959), 365-366.
[8] J. Tomiyama, On the projection of norm one in W^*-algebras III, Tohoku Math. J., 11 (1959), 125-129.
[9] J. Tomiyama, On the tensor product of von Neumann algebras, Pacific J. Math., 30 (1969), 263-270.
[10] J. Tomiyama, Tensor products and projections of norm one of von Neumann algebras, Lecture note, Univ. of Copenhagen, 1970.
[11] J. Tomiyama, On some types of maximal abelian subalgebras, J. Functional Analysis, 10 (1972), 373-386.

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

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