Annals of Functional Analysis

Green’s theorem for crossed products by Hilbert C-bimodules

Mauricio Achigar

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Abstract

Green’s theorem gives a Morita equivalence C0(G/H,A)GAH for a closed subgroup H of a locally compact group G acting on a C-algebra A. We prove an analogue of Green’s theorem in the case G=Z, where the automorphism generating the action is replaced by a Hilbert C-bimodule.

Article information

Source
Ann. Funct. Anal., Volume 8, Number 3 (2017), 281-290.

Dates
Received: 23 April 2016
Accepted: 26 September 2016
First available in Project Euclid: 4 April 2017

Permanent link to this document
https://projecteuclid.org/euclid.afa/1491280437

Digital Object Identifier
doi:10.1215/20088752-0000013X

Mathematical Reviews number (MathSciNet)
MR3689992

Zentralblatt MATH identifier
1385.46042

Subjects
Primary: 46L08: $C^*$-modules
Secondary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] 46L05: General theory of $C^*$-algebras

Keywords
Green’s theorem Morita equivalence crossed product Hilbert module

Citation

Achigar, Mauricio. Green’s theorem for crossed products by Hilbert $C^{*}$ -bimodules. Ann. Funct. Anal. 8 (2017), no. 3, 281--290. doi:10.1215/20088752-0000013X. https://projecteuclid.org/euclid.afa/1491280437


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References

  • [1] B. Abadie and M. Achigar, Cuntz-Pimsner $C^{*}$-algebras and crossed products by Hilbert $C^{*}$-bimodules, Rocky Mountain J. Math. 39 (2009), no. 4, 1051–1081.
  • [2] B. Abadie, S. Eilers, and R. Exel, Morita equivalence for crossed products by Hilbert $C^{*}$-bimodules, Trans. Amer. Math. Soc. 350 (1998), no. 8, 3043–3054.
  • [3] E. C. Lance, Hilbert $C^{*}$-Modules: A Toolkit for Operator Algebraists, London Math. Soc. Lecture Note Ser. 210, Cambridge Univ. Press, Cambridge, 1995.
  • [4] M. V. Pimsner, “A class of $C^{*}$-algebras generalizing both Cuntz-Krieger algebras and crossed products by $\mathbb{Z}$” in Free Probability Theory (Waterloo, 1995), Fields Inst. Commun. 12, Amer. Math. Soc., Providence, 1997, 189–212.
  • [5] D. P. Williams, Crossed Products of $C^{*}$-Algebras, Math. Surveys Monogr. 134, Amer. Math. Soc., Providence, 2007.