17 citations · 42 across the 27 of their papers we have counts for
31 papers
Boundary -algebras of triangle geometries
Guyan Robertson
Let be a building of type and order , with maximal boundary . Let be a group of type preserving automorphisms of which acts regularly on the cham…
Triangle buildings and actions of type
Jacqui Ramagge, Guyan Robertson
We study certain group actions on triangle buildings and their boundaries and some von Neumann algebras which can be constructed from them. In particular, for buildings of order $q…
Maximal abelian subalgebras of the group factor of an group
Guyan Robertson, Tim Steger
An group acts simply transitively on the vertices of an affine building . We study certain subgroups which act on certain apa…
Factors from trees
Jacqui Ramagge, Guyan Robertson
We construct factors of type $\tn$ for $n\in\NN, n\geq 2$ from group actions on homogeneous trees and their boundaries. Our result is a discrete analogue of a result of R.J Spatzie…
--algebras arising from group actions on the boundary of a triangle building
Guyan Robertson, Tim Steger
A subgroup of an amenable group is amenable. The -algebra version of this fact is false. This was first proved by M.-D. Choi who proved that the non-nuclear -algebra $C^*…
Crofton formulae and geodesic distance in hyperbolic spaces
Guyan Robertson
The geodesic distance between points in real hyperbolic space is a hypermetric, and hence is a kernel negative type. The proof given here uses an integral formula for geodesic dist…