Every frame representation of Z_+^k is central: any two frames built from the joint orbits of a commuting k-tuple are linked by an invertible operator commuting with all the operators.
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Dynamical Frames and Hyperinvariant Subspaces
Every frame representation of Z_+^k is central: any two frames built from the joint orbits of a commuting k-tuple are linked by an invertible operator commuting with all the operators.