Geodesic
On gradings of the operator algebra generated by mapping and multipliers
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 56-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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The operator algebra generated by mapping on a countable set and multipliers is considered. The defined mapping induces a family of partial isometries satisfying some relations. These isometries, as well as the multipliers, are the generators of the investigated algebra. We equip the algebra with a torus action and consider the corresponding covariant system.
Keywords: $C^*$-algebra, partial isometry, fixed-point subalgebra.
Mots-clés : multiplier, group action on $C^*$-algebra 
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     title = {On gradings of the operator algebra generated by mapping and multipliers},
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E. V. Patrin. On gradings of the operator algebra generated by mapping and multipliers. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 4, pp. 56-66. http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a4/

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