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Corrigendum: C*-envelopes of tensor algebras for multivariable dynamics

Part of: Selfadjoint operator algebras Linear spaces and algebras of operators Topological dynamics

Published online by Cambridge University Press:  20 May 2011

Kenneth R. Davidson  and
Jean Roydor
Kenneth R. Davidson
Affiliation:
Pure Mathematics Department, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada ([email protected])
Jean Roydor
Affiliation:
Pure Mathematics Department, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada ([email protected])
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Abstract

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There is an unfortunate error in Theorem 4.1 of our paper. However, the statement of the theorem remains true with a correct construction of adding a tail to enlarge the dynamical system.

Keywords

multivariable dynamical systemC*-envelopegroupoid C*-algebracrossed product by an endomorphismminimalsimple

MSC classification

Secondary: 47L55: Representations of (nonselfadjoint) operator algebras 47L40: Limit algebras, subalgebras of $C^*$-algebras 46L05: General theory of $C^*$-algebras 37B20: Notions of recurrence 37B99: None of the above, but in this section
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 3 , October 2011 , pp. 643 - 644
Copyright
Copyright © Edinburgh Mathematical Society 2011

References

1.Davidson, K. R. and Pitts, D. R., Invariant subspaces and hyper-reflexivity for free semi-group algebras, Proc. Lond. Math. Soc. 78 (1999), 401–430.CrossRefGoogle Scholar
2.Davidson, K. R. and Roydor, J., C*-envelopes of tensor algebras for multivariable dynamics, Proc. Edinb. Math. Soc. 53 (2010), 333–351.CrossRefGoogle Scholar
3.Kakariadis, E. and Katsoulis, E., Contributions to the theory of C*-correspondences with applications to multivariable dynamics, preprint (arXiv:1101.1482v1).Google Scholar