85 citations · 98 across the 14 of their papers we have counts for
14 papers
Contractive spectral triples for crossed products
Alan L. T. Paterson
Connes showed that spectral triples encode (noncommutative) metric information. Further, Connes and Moscovici in their metric bundle construction showed that, as with the Takesaki…
An Operator Space duality theorem for the Fourier-Stieltjes algebra of a locally compact groupoid
Alan L. T. Paterson
It is a well-known result of Eymard that the Fourier-Stieltjes algebra of a locally compact group can be identified with the dual of the group $\cs$ . A corresponding…
The stabilization theorem for proper groupoids
Alan L. T. Paterson
The stabilization theorem for -Hilbert modules was established by G. G. Kasparov. The equivariant version, in which a locally compact group acts properly on a locally compac…
Group amenability properties for von Neumann algebras
Anthony T. Lau, Alan L. T. Paterson
In his study of amenable unitary representations, M. E. B. Bekka asked if there is an analogue for such representations of the remarkable fixed-point property for amenable groups.…
Tychonoff's theorem for locally compact space and an elementary approach to the topology of path spaces
Alan L. T. Paterson, Amy E. Welch
The path spaces of a directed graph play an important role in the study of graph $\css$. These are topological spaces that were originally constructed using groupoid and inverse se…
Continuous family groupoids
Alan L. T. Paterson
In this paper, we define and investigate the properties of continuous family groupoids. This class of groupoids is necessary for investigating the groupoid index theory arising fro…