Completely positive maps in the tensor products of von Neumann algebras

Masaru NAGISA; Jun TOMIYAMA

doi:10.2969/jmsj/03330539

Masaru NAGISA, Jun TOMIYAMA

著者情報

ジャーナルフリー

1981 年 33 巻 3 号 p. 539-550

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

詳細

Published: 1981 Received: 1979/12/05 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Applied Faculty of Engineering Osaka University
2) Mathematics Department of Mathematics Science Faculty of Science Niigata University

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

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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4) E. G. Effros, Approximation problems for C^*-algebras, unpublished.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[4] E. G. Effros, Approximation problems for C^*-algebras, unpublished.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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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