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math.OA2013
Atomic representations of Cuntz algebras
Dorin Ervin Dutkay, John Haussermann, Palle E. T. Jorgensen
To a representation of (the Cuntz algebra with generators) we associate a projection valued measure and we study the case when this measure has atoms. The main technical…
math.FA2013
Local translations associated to spectral sets
Dorin Ervin Dutkay, John Haussermann
In connection to the Fuglede conjecture, we study groups of local translations associated to spectral sets, i.e., measurable sets in $\br$ or $\bz$ that have an orthogonal basis of…