Traces on group extensions and C*-crossed products

Tsuyoshi KAJIWARA

doi:10.2969/jmsj/03840739

Traces on group extensions and C^*-crossed products

Tsuyoshi KAJIWARA

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ジャーナルフリー

1986 年 38 巻 4 号 p. 739-754

DOI https://doi.org/10.2969/jmsj/03840739

詳細

Published: 1986 Received: 1984/07/02 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: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor O. Takenouchi on his 60th birthday

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Right : [1] F. Combes, Poids sur une C^*-algèbre, J. Math. Pures Appl., 47 (1968), 57-100.
[2] M. Enock and J. -M. Schwartz, Produit croise d'une algèbre de von Neumann par une algebre de Kac II, Publ. RIMS, Kyoto Univ., 16 (1980), 189-232.
[3] E. Gootman and J. Rosenberg, The structure of crossed product C^*-algebras, Invent. Math., 102 (1979), 283-298.
[4] P. Green, The local structure of twisted covariance algebras, Acta Math., 140 (1978), 191-250.
[5] P. Green, The structure of imprimitivity algebras, J. Funct. Anal., 36 (1980), 88-104.
[6] U. Haagerup, Operator valued weights in von Neumann algebras, J. Funct. Anal., 32 (1979), 175-206; 33 (1979), 339-361.
[7] U. Haagerup, On the dual weights for crossed products of von Neumann algebras I, Math. Scand., 43 (1978), 99-118.
[8] U. Haagerup, On the dual weights for crossed products of von Neumann algebras II, Math. Scand., 43 (1978), 119-140.
[9] S. Imai and H. Takai, On a duality for C^*-crossed product by a locally compact group, J. Math. Soc. Japan, 30 (1978), 495-504.
[10] Y. Katayama, Remarks on a C^*-dynamical system, Math. Scand., 49 (1981), 250-258.
[11] M. Landstadt, Duality theory for covariant systems, Trans. Amer. Math. Soc., 248 (1979), 223-267.
[12] Y. Nakagami and M. Takesaki, Duality for crossed products of von Neumann algebras, Lecture Notes in Math., 731, Springer, 1979.
[13] Y. Nakagami and C. Sutherland, Takesaki's duality for regular extension of von Neumann algebras, Pacific J. Math., 83 (1979), 221-229.
[14] G. K. Pedersen, C^*-algebras and automorphism groups, Academic Press, London, 1979.
[15] G. K. Pedersen and M. Takesaki, The Radon Nikodym theorem for von Neumann algebras, Acta Math., 130 (1973), 53-88.
[16] N. V. Pedersen, On certain KMS weights on C^*-crossed products, Proc. London Math. Soc., 44 (1982), 445-472.
[17] N. V. Pedersen, Duality for induced representations and for induced weights, preprint.
[18] M. Rieffel, Induced representation of C^*-algebras, Adv. in Math., 13 (1974), 176-257.
[19] R. Rousseau, Le Commutant d'une algèbre de covariance, Rev. Roumaine Math. Pures Appl., 25(1980), 445-471.
[20] S. Stratila, Modular theory in von Neumann algebras, Abacus Press, Tunbridge Wells, 1981.
[21] S. Stratila, D. Voiculescu and L. Zsido, On crossed products I, II, Rev. Roumaine Math. Pures Appl., 21 (1976), 1411-1449.
[22] H. Takai, On a duality for crossed products of C^*-algebras, J. Funct. Anal., 19 (1975), 24-39.
[23] M. Takesaki, Covariant representations of C^*-algebras and their locally compact automorphism groups, Acta Math., 119 (1967), 273-302.
[24] J. M. Vallin, C^*-algebre de Hopf spatiale, C^*-algebre de Kac, preprint.

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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