Factors generated by direct sums of II1 factors

Atsushi SAKURAMOTO

doi:10.2969/jmsj/04840715

Factors generated by direct sums of II₁ factors

Atsushi SAKURAMOTO

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 4 Pages 715-728

DOI https://doi.org/10.2969/jmsj/04840715

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Published: 1996 Received: June 06, 1994 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: AUTHOR Details: Wrong : Atsushi SAKURAMOTO¹⁾
Right : Atsushi SAKURAMOTO¹⁾²⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Department of Mathematics Fukui University

Right :
1) Department of Mathematics Faculty of Science Kyoto University
2) Department of Mathematics Fukui University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Choda, Index for factors generated by Jones' two sided sequence of projections, Pacific J. Math., 139 (1989), 1-16.
2) F.M. Goodman, P. de la Harpe and V.F.R. Jones, Coxeter Graphs and Towers of Algebras, MSRI publications, 14, Springer-Verlag, New York, 1989.
3) V.F.R. Jones, Index for subfactors, Invent. Math., 72 (1983), 1-25.
4) H. Kosaki, Extension of Jones' theory on index to arbitrary factors, Funct. Anal., 66 (1986), 123-140.
5) R. Longo, Index of subfactors and statistics of quantum fields I, Comm. Math. Phys., 126 (1989), 217-247.
6) R. Longo, Index of subfactors and statistics of quantum fields II, Correspondences, braid group statistics and Jones polynomial, Comm. Math. Phys., 130 (1990), 285-309.
7) A. Ocneanu, Quantized group string algebras and Galois theory for algebras, London Math. Soc. Lecture Note Ser., 136 (1988), 119-172.
8) M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. École Norm. Sup., 19 (1986), 57-106.
9) M. Pimsner and S. Popa, Iterating the basic construction, Trans. Amer. Math. Soc., 310 (1988), 127-134.
10) S. Popa, Markov traces on universal Jones algebras and subfactors of finite index, Invent. Math., 111 (1993), 375-405.
11) F. Radulescu, Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group of noninteger index, Invent. Math., 115 (1994), 347-389.
12) Y. Watatani, L'indice d'une C^*-sons-algebre d'une C^*-algebre simple, C.R. Acad. Sci. Paris, 305 (1987), 23-26.
13) H. Wenzl, Hecke algebras of type An and subfactors, Invent. Math., 92 (1988), 349-383.

Right : [1] M. Choda, Index for factors generated by Jones' two sided sequence of projections, Pacific J. Math., 139 (1989), 1-16.
[2] F. M. Goodman, P. de la Harpe and V. F. R. Jones, Coxeter Graphs and Towers of Algebras, MSRI publications, 14, Springer-Verlag, New York, 1989.
[3] V. F. R. Jones, Index for subfactors, Invent. Math., 72 (1983), 1-25.
[4] H. Kosaki, Extension of Jones' theory on index to arbitrary factors, Funct. Anal., 66 (1986), 123-140.
[5] R. Longo, Index of subfactors and statistics of quantum fields I, Comm. Math. Phys., 126 (1989), 217-247.
[6] R. Longo, Index of subfactors and statistics of quantum fields II, Correspondences, braid group statistics and Jones polynomial, Comm. Math. Phys., 130 (1990), 285-309.
[7] A. Ocneanu, Quantized group string algebras and Galois theory for algebras, London Math. Soc. Lecture Note Ser., 136 (1988), 119-172.
[8] M. Pimsner and S. Popa, Entropy and index for subfactors, Ann. Sci. École Norm. Sup., 19 (1986), 57-106.
[9] M. Pimsner and S. Popa, Iterating the basic construction, Trans. Amer. Math. Soc., 310 (1988), 127-134.
[10] S. Popa, Markov traces on universal Jones algebras and subfactors of finite index, Invent. Math., 111 (1993), 375-405.
[11] F. Radulescu, Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group of noninteger index, Invent. Math., 115 (1994), 347-389.
[12] Y. Watatani, L'indice d'une C-sons-algebre d'une C-algebre simple, C. R. Acad. Sci. Paris, 305 (1987), 23-26.
[13] H. Wenzl, Hecke algebras of type A_n and subfactors, Invent. Math., 92 (1988), 349-383.

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