C*-algebras associated with shift dynamical systems

Shinzô KAWAMURA; Hideo TAKEMOTO

doi:10.2969/jmsj/03620279

C^*-algebras associated with shift dynamical systems

Shinzô KAWAMURA, Hideo TAKEMOTO

著者情報

ジャーナルフリー

1984 年 36 巻 2 号 p. 279-293

DOI https://doi.org/10.2969/jmsj/03620279

詳細

Published: 1984 Received: 1982/07/12 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 the memory of Professor Teishiro Saito

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Shinzo KAWAMURA¹⁾, Hideo TAKEMOTO²⁾
Right : Shinzô KAWAMURA¹⁾, Hideo TAKEMOTO²⁾

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 Mathematics Faculty of Science Yamagata University
2) Department of Mathematics College of General Education Tohoku University

訂正後 :
1) Department of Mathematics Faculty of Science Yamagata University
2) Department of Mathematics College of General Education Tôhoku 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) T. Anzai, Ergodic skew product transformations on the torus, Osaka Math. J., 3 (1951), 83-99.
2) W. B. Arveson and K. B. Josephson, Operator algebras and measure preserving automorphisms II, J. Functional Analysis, 4 (1969), 100-134.
3) J. Brown, Ergodic theory and topological dynamics, Academic Press, New York, 1976.
4) J. Bunce and J. A. Deddens, A family of simple C^*-algebras related to weighted shift operators, J. Functional Analysis, 19 (1975), 13-24.
5) J. Cassels and A. Fröhlich, Algebraic number theory, Academic Press, London-New York, 1967.
6) D. P. O'Donovan, Weighted shifts and covariance algebras, Trans. Amer. Math. Soc., 208 (1975), 1-25.
7) P. Ghatage and W. J. Phillips, C^*-algebras generated by weighted shift II, Indiana Univ. Math. J., 30 (1981), 539-546.
8) P. Green, C^*-algebras of transformation groups with smooth orbit space, Pacific J. Math., 72 (1977), 71-97.
9) P. Green, The local structure of twisted covariance algebras, Acta Math., 140 (1978), 191-250.
10) H. Furstenberg, Strict ergodicity and transformations of the torus, Amer. J. Math., 83 (1961), 573-601.
11) W. Parry, Topics in ergodic theory, Cambridge Univ. Press, London, 1981.
12) S. C. Power, Simplicity of C^*-algebras of minimal dynamic systems, J. London Math. Soc., 18 (1978), 534-538.
13) M. Pimsner and D. Voiculescu, Imbedding the irrational rotation C^*-algebra into an AF-algebra, J. Operator Theory, 4 (1980), 201-210.
14) N. Riedel, Classification of the C^*-algebras associated with minimal rotations, Pacific J. Math., 101 (1982), 153-162.
15) M. A. Rieffel, C^*-algebras associated with irrational rotations, Pacific J. Math., 93 (1981), 415-429.
16) W. Rudin, Fourier analysis on groups, Interscience Publ., 1962.
17) Z. Takeda, Inductive limit and infinite direct product of operator algebras, Tohoku Math. J., 7 (1955), 67-86.

Right : [1] T. Anzai, Ergodic skew product transformations on the torus, Osaka Math. J., 3 (1951), 83-99.
[2] W. B. Arveson and K. B. Josephson, Operator algebras and measure preserving automorphisms II, J. Functional Analysis, 4 (1969), 100-134.
[3] J. Brown, Ergodic theory and topological dynamics, Academic Press, New York, 1976.
[4] J. Bunce and J. A. Deddens, A family of simple C-algebras related to weighted shift operators, J. Functional Analysis, 19 (1975), 13-24.
[5] J. Cassels and A. Fröhlich, Algebraic number theory, Academic Press, London-New York, 1967.
[6] D. P. O'Donovan, Weighted shifts and covariance algebras, Trans. Amer. Math. Soc., 208 (1975), 1-25.
[7] P. Ghatage and W. J. Phillips, C-algebras generated by weighted shift II, Indiana Univ. Math. J., 30 (1981), 539-546.
[8] P. Green, C-algebras of transformation groups with smooth orbit space, Pacific J. Math., 72 (1977), 71-97.
[9] P. Green, The local structure of twisted covariance algebras, Acta Math., 140 (1978), 191-250.
[10] H. Furstenberg, Strict ergodicity and transformations of the torus, Amer. J. Math., 83 (1961), 573-601.
[11] W. Parry, Topics in ergodic theory, Cambridge Univ. Press, London, 1981.
[12] S. C. Power, Simplicity of C-algebras of minimal dynamic systems, J. London Math. Soc., 18 (1978), 534-538.
[13] M. Pimsner and D. Voiculescu, Imbedding the irrational rotation C-algebra into an AF-algebra, J. Operator Theory, 4 (1980), 201-210.
[14] N. Riedel, Classification of the C-algebras associated with minimal rotations, Pacific J. Math., 101 (1982), 153-162.
[15] M. A. Rieffel, C-algebras associated with irrational rotations, Pacific J. Math., 93 (1981), 415-429.
[16] W. Rudin, Fourier analysis on groups, Interscience Publ., 1962.
[17] Z. Takeda, Inductive limit and infinite direct product of operator algebras, Tohoku Math. J., 7 (1955), 67-86.

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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