67 citations · 250 across the 40 of their papers we have counts for
38 papers · 1 filter
A panoramic view of groupoids and MRAs
Marius Ionescu, Paul S. Muhly
This sequel to \cite{im2008} uses groupoid technology to provide new proofs of the famous theorems of Mallat \cite[Theorem 1 and 2]{Mall_TAMS89} that extend to much broader context…
Boundaries, Bundles and Trace Algebras
Erin Griesenauer, Paul S. Muhly, Baruch Solel
We describe how noncommutative function algebras built from noncommutative functions in the sense of \cite{K-VV2014} may be studied as subalgebras of homogeneous -algebras.
Matricial Function Theory and Weighted Shifts
Paul S. Muhly, Baruch Solel
Let be the tensor algebra of a -correspondence over a -algebra . In earlier work, we showed that the completely contractive representation…
Tensorial Function Theory: From Berezin transforms to Taylor's Taylor series and back
Paul S. Muhly, Baruch Solel
Let be the Hardy algebra of a -correspondence over a -algebra . Then the ultraweakly continuous completely contractive representations of $H^{\…
Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems
S. Kaliszewski, Paul S. Muhly, John Quigg +1
In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rie…
Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra
S. Kaliszewski, Paul S. Muhly, John Quigg +1
We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated actio…