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pro vyhledávání: '"Guyan Robertson"'
Autor:
Guyan Robertson
Publikováno v:
Journal of Functional Analysis. 266:6319-6334
Let Δ be a building of type A ˜ 2 and order q , with maximal boundary Ω . Let Γ be a group of type preserving automorphisms of Δ which acts regularly on the chambers of Δ. Then the crossed product C ⁎ -algebra C ( Ω ) ⋊ Γ is isomorphic to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::397f2ca3562d8b7bebe426641f5a679d
https://doi.org/10.1016/j.jfa.2014.02.031
https://doi.org/10.1016/j.jfa.2014.02.031
Autor:
Oliver H. King, Guyan Robertson
Publikováno v:
Journal of K-theory. 9:521-536
Let Γ be an Ã2subgroup of PGL3(), whereis a local field with residue field of orderq. The module of coinvariantsC(,ℤ)Γis shown to be finite, whereis the projective plane over. If the group Γ is of Tits type and ifq≢ 1 (mod 3) then the exact v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::661ef67b25052ecb936e4c7af37a915d
https://doi.org/10.1017/is011005004jkt158
https://doi.org/10.1017/is011005004jkt158
Autor:
Guyan Robertson
Publikováno v:
jgth. 14:881-890
Let Γ be a torsion-free discrete group acting cocompactly on a two dimensional euclidean building Δ. The centralizer of an element of Γ is either a Bieberbach group or is described by a finite graph of finite cyclic groups. Explicit examples are c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52b8d4aef607792a2b7511cb82724ab5
https://doi.org/10.1515/jgt.2010.085
https://doi.org/10.1515/jgt.2010.085
Autor:
Guyan Robertson
Publikováno v:
Proceedings of the American Mathematical Society. 136:3851-3860
Let Δ \Delta be an infinite, locally finite tree with more than two ends. Let Γ > Aut ( Δ ) \Gamma >\operatorname {Aut}(\Delta ) be an acylindrical uniform lattice. Then the boundary algebra A Γ = C ( ∂ Δ ) ⋊ Γ \mathcal {A}_\Gamma = C(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05b8ea43b32408b9610795a55230b9e8
https://doi.org/10.1090/s0002-9939-08-09453-7
https://doi.org/10.1090/s0002-9939-08-09453-7
Autor:
Guyan Robertson
Publikováno v:
Journal of Functional Analysis. 230:419-431
Consider a compact locally symmetric space M of rank r , with fundamental group Γ . The von Neumann algebra VN ( Γ ) is the convolution algebra of functions f ∈ l 2 ( Γ ) which act by left convolution on l 2 ( Γ ) . Let T r be a totally geodesi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::220b523f528f12b0b43bc7784e0acf04
https://doi.org/10.1016/j.jfa.2005.04.009
https://doi.org/10.1016/j.jfa.2005.04.009
Autor:
Guyan Robertson, Tim Steger
Publikováno v:
Journal of Combinatorial Theory, Series A. 103(1):91-104
Let Γ be a group of type rotating automorphisms of a building B of type Ã2, and suppose that Γ acts freely and transitively on the vertex set of B. The apartments of B are tiled by triangles, labelled according to Γ-orbits. Associated with these
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a1b45e39ded2a5c741727972962fcdb
Autor:
Guyan Robertson, Tim Steger
Publikováno v:
Canadian Journal of Mathematics. 53:809-833
Let Γ be a torsion free lattice inG= PGL(3,) whereis a nonarchimedean local field. Then Γ acts freely on the affine Bruhat-Tits building ℬ ofGand there is an induced action on the boundary Ω of ℬ. The crossed productC*-algebra(Γ) =C(Ω) ⋊
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c77425c09dc1ef23e5f2d96595448bb
https://doi.org/10.4153/cjm-2001-033-4
https://doi.org/10.4153/cjm-2001-033-4
Autor:
Guyan Robertson
Publikováno v:
K-Theory. 22:251-269
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33717f63dbcf4a6647795fb36e5c4fff
https://doi.org/10.1023/a:1011173718141
https://doi.org/10.1023/a:1011173718141
Autor:
Guyan Robertson, Paul Jolissaint
Publikováno v:
Journal of Functional Analysis. 175(1):197-213
Let $n$ be a positive integer. We introduce a concept, which we call the $n$-filling property, for an action of a group on a separable unital $C^*$-algebra $A$. If $A=C(\Omega)$ is a commutative unital $C^*$-algebra and the action is induced by a gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e440b430a099a712fbf87a9831ceae71
Publikováno v:
Geometric And Functional Analysis. 8:702-731
Haagerup's inequality for convolvers on free groups may be interpreted as a result on \( \tilde A_1 \) buildings, i.e. trees. Here are proved analogous inequalities for discrete groups acting freely on the vertices of \( \tilde A_1 \times \tilde A_1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c15748f2e6dff773d92fed38d65075a3
https://doi.org/10.1007/s000390050071
https://doi.org/10.1007/s000390050071