Cycles of irreducible $\mathcal O_N$ representations and their atoms of UHF$_N$ representations
Relations of finite type and sub-Cuntz states
The shift representation
The universal permutative multiplicity-free representation
Some specific examples of the cycle and atom structure: The mod $N$ case
Some specific examples of the cycle and atom structure: The mod $\mathbf N$ case
The general mod $\mathbf N$ situation Concluding remarks
Bibliography
List of symbols
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