14 citations · 14 across the 5 of their papers we have counts for
8 papers
Equivariant compression of certain direct limit groups and amalgamated free products
Chris Cave, Dennis Dreesen
We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G_i whose direct limit is G. Quantifying a result by S.R. Gal, we al…
Embeddability of generalized wreath products and box spaces
Chris Cave, Dennis Dreesen, Ana Khukhro
Given two finitely generated groups that coarsely embed into a Hilbert space, it is known that their wreath product also embeds coarsely into a Hilbert space. We introduce a wreath…
The Haagerup property is stable under graph products
Yago Antolín, Dennis Dreesen
The Haagerup property, which is a strong converse of Kazhdan's property , has translations and applications in various fields of mathematics such as representation theory, har…
Embeddings of locally compact hyperbolic groups into Lp-spaces
Dennis Dreesen, Chris Cave
In the last years, there has been a large amount of research on embeddability properties of finitely generated hyperbolic groups. In this paper, we elaborate on the more general cl…
Locally compact convergence groups and n-transitive actions
Mathieu Carette, Dennis Dreesen
All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnec…
Hilbert space compression under direct limits and certain group extensions
Dennis Dreesen
We find bounds on the Hilbert space compression of the limit of a directed metric system of groups. We also give estimates on the Hilbert space compression of group extensions of a…