Readership

Graduate students and research mathematicians working in functional analysis.

Table of Contents

• Introduction
• Permutative representations of \(\mathcal O_N\)
• Monomial representations and integers modulo \(N\)
• 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