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20002020
most citedAsymptotic K-theory for groups acting on $\tildeA_2$ buildings

5 citations · 9 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.OA2013★ 1 cited

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…

math.OA2013

--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^*…

math.OA2013

Affine buildings, tiling systems and higher rank Cuntz-Krieger algebras

Guyan Robertson, Tim Steger

To an -dimensional subshift of finite type satisfying certain special properties we associate a -algebra $\cA$. This algebra is a higher rank version of a Cuntz-Krieger alg…

math.OA2009

Malnormal subgroups of lattices and the Pukanszky invariant in group factors

Guyan Robertson, Tim Steger

Let be a connected semisimple real algebraic group. Assume that $G(\bb R)$ has no compact factors and let be a torsion-free uniform lattice subgroup of $G(\bb R)$. Then …

math.OA2000

K-theory computations for boundary algebras of $\tA_2$ groups

Guyan Robertson, Tim Steger

This is an appendix to the paper {\bf Asymptotic K-theory for groups acting on $\tA_2$ buildings}, and contains the results of the computations performed by the authors.

math.OA2000★ 5 cited

Asymptotic K-theory for groups acting on $\tildeA_2$ buildings

Guyan Robertson, Tim Steger

Let be a torsion free lattice in $G=\PGL(3,{\mathbb F})$ where is a nonarchimedean local field. Then acts freely on the affine Bruhat-Tits building ${\mathcal…