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

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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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     author = {E. V. Patrin},
     title = {On gradings of the operator algebra generated by mapping and multipliers},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {157},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_4_a4/}
}
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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/