Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 86-89

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We show that the Cuntz algebra is a $C^*$-crossed product of the canonical anticommutation relations algebra, generated by a standard recursive fermion system, with the group of integers by endomorphism.
Keywords: Cuntz algebra, crossed product, recursive fermion system, algebra of fields, $C^*$-algebra, isometry.
@article{IVM_2014_8_a8,
     author = {M. A. Aukhadiev and A. S. Nikitin and A. S. Sitdikov},
     title = {Crossed product of the canonical anticommutative relations algebra in the {Cuntz} algebra},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--89},
     publisher = {mathdoc},
     number = {8},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_8_a8/}
}
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M. A. Aukhadiev; A. S. Nikitin; A. S. Sitdikov. Crossed product of the canonical anticommutative relations algebra in the Cuntz algebra. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 86-89. http://geodesic.mathdoc.fr/item/IVM_2014_8_a8/