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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 4, Pages 56–66 (Mi uzku1336)  

On gradings of the operator algebra generated by mapping and multipliers

E. V. Patrin

Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia

Abstract: 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, multiplier, group action on $C^*$-algebra, fixed-point subalgebra.

Full text: PDF file (529 kB)
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UDC: 517.98
Received: 27.08.2015

Citation: E. V. Patrin, “On gradings of the operator algebra generated by mapping and multipliers”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 4, Kazan University, Kazan, 2015, 56–66

Citation in format AMSBIB
\Bibitem{Pat15}
\by E.~V.~Patrin
\paper On gradings of the operator algebra generated by mapping and multipliers
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 4
\pages 56--66
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1336}
\elib{https://elibrary.ru/item.asp?id=25005280}


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