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A crossed product of the canonical anticommutation relations algebra in the Cuntz algebra

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Abstract

We show that the Cuntz algebra can be represented as a crossed product of the canonical anticommutation relations algebra by an endomorphism.

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Authors and Affiliations

  1. Kazan State Power Engineering University, ul. Krasnosel’skaya 51, Kazan, 420066, Russia

    M. A. Aukhadiev, A. S. Nikitin & A. S. Sitdikov

Authors
  1. M. A. Aukhadiev
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  2. A. S. Nikitin
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  3. A. S. Sitdikov
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Correspondence to M. A. Aukhadiev.

Additional information

Original Russian Text © M.A. Aukhadiev, A.S. Nikitin, A.S. Sitdikov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 86–89.

Submitted by A.M. Bikchentaev

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Aukhadiev, M.A., Nikitin, A.S. & Sitdikov, A.S. A crossed product of the canonical anticommutation relations algebra in the Cuntz algebra. Russ Math. 58, 71–73 (2014). https://doi.org/10.3103/S1066369X1408009X

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  • DOI: https://doi.org/10.3103/S1066369X1408009X

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