67 citations · 136 across the 16 of their papers we have counts for
4 papers · 1 filter
Groupoid Methods in Wavelet Analysis
Marius Ionescu, Paul S. Muhly
We describe how the Deaconu-Renault groupoid may be used in the study of wavelets and fractals.
Groupoid and Inverse Semigroup Presentations of Ultragraph -Algebras
Alberto Marrero, Paul S. Muhly
Inspired by the work of Paterson on -algebras of directed graphs, we show how to associate a groupoid to an ultragraph in such…
The Poisson Kernel for Hardy Algebras
Paul S. Muhly, Baruch Solel
This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras , which we call Hardy algebras,…
Renault's Equivalence Theorem for Groupoid Crossed Products
Paul S. Muhly, Dana P. Williams
We provide an exposition and proof of Renault's equivalence theorem for crossed products by locally Hausdorff, locally compact groupoids. Our approach stresses the bundle approach,…