Bounded topological orbit equivalence and C*-algebras

Mike BOYLE; Jun TOMIYAMA

doi:10.2969/jmsj/05020317

Bounded topological orbit equivalence and C^*-algebras

Mike BOYLE, Jun TOMIYAMA

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ジャーナルフリー

1998 年 50 巻 2 号 p. 317-329

DOI https://doi.org/10.2969/jmsj/05020317

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Published: 1998 Received: 1995/06/27 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: 論文タイトル訂正内容: Wrong : Bounded topological orbit equivalence and C*-algebras
Right : Bounded topological orbit equivalence and C^*-algebras

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) R. Belinskaya, Partitions of Lebesgue space in trajectories defined by ergodic automorphisms, Funct. Anal. Appl. 2 (1968), 4-16.
2) M. Boyle, Topological orbit equivalence and factor maps in symbolic dynamics, Ph.D. Thesis, University of Washington, Seattle (1983).
3) M. Boyle & D. Handelman, Orbit equivalence, flow equivalence and ordered cohomology, Israel J. Math. 95 (1996), 169-210.
4) T. Giordano, I. Putnam & C. Skau, Topological orbit equivalence and C^*-crossed products, J. refine angew. Math. 469 (1995), 51-111.
5) R. Hoegh-Krohn & T. Skjelbred, Classification of C^*-algebras admitting ergodic actions of the twodimensional torus, J. reine angew. Math. 328 (1981), 1-8.
6) Y. Katznelson, Lectures on orbit equivalence, Mimeographed notes, Orsay (1980).
7) Y. Katznelson & B. Weiss, The classification of nonsingular actions, revisited, Ergod. Th. & Dynam. Sys. (1991) 11, 333-348.
8) I. Kupka, On two notions of structural stability, J. Diff. Geom. 9 (1974), 639-644.
9) K. Kuratowski, Topology, Vol. II, Academic Press (1968).
10) N. Ormes, Strong orbit realization for minimal homeomorphisms, J. Anal. Math. 71 (1997), 103-133.
11) M. V. Pimsner & D. Voiculescu, Exact sequences for K-groups and Ext-groups of certain crossed product C^*-algebras, J. Operator Th. 4 (1980), 93-118.
12) K. Schmidt, Algebraic ideas in ergodic theory, CBMS Regional Conference Series in Math. 76, Amer. Math. Soc. (1990).
13) W. Sierpinski, Un théoreme sur les continus, Tohoku Math. Journ. 13 (1918), 300-303.
14) J. Tomiyama, Invitation to C^*-algebras and topological dynamics, World Scientific (1987).
15) J. Tomiyama, Topological full groups and structure of normalizers in transformation group C*-algebras, Pacific J. Math. 173 (1996), 571-583.
16) N. E. Wegge-Olsen, K-theory and C^*-algebras, Oxford University Press (1993).
17) H-S Yin, A simple proof of the classification of rational rotation C^*-algebras, Proc. AMS 98 (1986), 469-470.

Right : [1] R. Belinskaya, Partitions of Lebesgue space in trajectories defined by ergodic automorphisms, Funct. Anal. Appl. 2 (1968), 4-16.
[2] M. Boyle, Topological orbit equivalence and factor maps in symbolic dynamics, Ph. D. Thesis, University of Washington, Seattle (1983).
[3] M. Boyle & D. Handelman, Orbit equivalence, flow equivalence and ordered cohomology, Israel J. Math. 95 (1996), 169-210.
[4] T. Giordano, I. Putnam & C. Skau, Topological orbit equivalence and C^*-crossed products, J. reine angew. Math. 469 (1995), 51-111.
[5] R. Hoegh-Krohn & T. Skjelbred, Classification of C^*-algebras admitting ergodic actions of the twodimensional torus, J. reine angew. Math. 328 (1981), 1-8.
[6] Y. Katznelson, Lectures on orbit equivalence, Mimeographed notes, Orsay (1980).
[7] Y. Katznelson & B. Weiss, The classification of nonsingular actions, revisited, Ergod. Th. & Dynam. Sys. (1991) 11, 333-348.
[8] I. Kupka, On two notions of structural stability, J. Diff. Geom. 9 (1974), 639-644.
[9] K. Kuratowski, Topology, Vol. II, Academic Press (1968).
[10] N. Ormes, Strong orbit realization for minimal homeomorphisms, J. Anal. Math. 71 (1997), 103-133.
[11] M. V. Pimsner & D. Voiculescu, Exact sequences for K-groups and Ext-groups of certain crossed product C^*-algebras, J. Operator Th. 4 (1980), 93-118.
[12] K. Schmidt, Algebraic ideas in ergodic theory, CBMS Regional Conference Series in Math. 76, Amer. Math. Soc. (1990).
[13] W. Sierpinski, Un théoreme sur les continus, Tôhoku Math. Journ. 13 (1918), 300-303.
[14] J. Tomiyama, Invitation to C^*-algebras and topological dynamics, World Scientific (1987).
[15] J. Tomiyama, Topological full groups and structure of normalizers in transformation group C^*-algebras, Pacific J. Math. 173 (1996), 571-583.
[16] N. E. Wegge-Olsen, K-theory and C^*-algebras, Oxford University Press (1993).
[17] H-S Yin, A simple proof of the classification of rational rotation C^*-algebras, Proc. AMS 98 (1986), 469-470.

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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