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.
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