Memoirs of the American Mathematical Society 1999; 89 pp; softcover Volume: 139 ISBN10: 0821809628 ISBN13: 9780821809624 List Price: US$49 Individual Members: US$29.40 Institutional Members: US$39.20 Order Code: MEMO/139/663
 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 subCuntz states
 The shift representation
 The universal permutative multiplicityfree 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
