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The structure of invariant ideals of some subalgebras of Toeplitz algebra

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Abstract

In this paper we give a complete description of invariant ideals of C*-subalgebras of Toeplitz algebra that are fixed with respect to a finite group of automorphisms. The splitting property of short exact sequences generated by such ideals is established.

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Authors and Affiliations

  1. Kazan State Power Engineering University, Kazan, Russia

    E. V. Lipacheva & K. H. Hovsepyan

Authors
  1. E. V. Lipacheva
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  2. K. H. Hovsepyan
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Correspondence to E. V. Lipacheva.

Additional information

Original Russian Text © E. V. Lipacheva, K. H. Hovsepyan, 2015, published in Izvestiya NAN Armenii. Matematika, 2015, No. 2, pp. 38–52.

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Lipacheva, E.V., Hovsepyan, K.H. The structure of invariant ideals of some subalgebras of Toeplitz algebra. J. Contemp. Mathemat. Anal. 50, 70–79 (2015). https://doi.org/10.3103/S106836231502003X

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  • DOI: https://doi.org/10.3103/S106836231502003X

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