85 citations · 86 across the 4 of their papers we have counts for
4 papers
The Fourier-Stieltjes and Fourier algebras for locally compact groupoids
Alan L. T. Paterson
The Fourier-Stieltjes and Fourier algebras B(G), A(G) for a general locally compact group G, first studied by P. Eymard, have played an important role in harmonic analysis and in t…
The analytic index for proper, Lie groupoid actions
Alan L. T. Paterson
Many index theorems (both classical and in noncommutative geometry) can be interpreted in terms of a Lie groupoid acting properly on a manifold and leaving an elliptic family of ps…
The Fourier algebra for locally compact groupoids
Alan L. T. Paterson
We introduce and investigate using Hilbert modules the properties of the Fourier algebra A(G) for a locally compact groupoid G. We establish a duality theorem for such groupoids in…
Graph inverse semigroups, groupoids and their C*-algebras
Alan L. T. Paterson
We develop a theory of graph C*-algebras using path groupoids and inverse semigroups. Row finiteness is not assumed so that the theory applies to graphs for which there are vertice…