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- W2043153262 abstract "Let $Gamma$ be a torsion free lattice in $G = PGL(n+1,FF)$, where $nge 1$ and $FF$ is a non-archimedean local field. Then $Gamma$ acts on the Furstenberg boundary $G/P$, where $P$ is a minimal parabolic subgroup of $G$. The identity element $id$ in the crossed product $C^*$-algebra $C(G/P)rtimes Gamma$ generates a class $[id]$ in the $K_0$ group of $C(G/P)rtimes Gamma$. It is shown that $[id]$ is a torsion element of $K_0$ and there is an explicit bound for the order of $[id]$. The result is proved more generally for groups acting on affine buildings of type $tA_n$. For $n=1, 2$ the Euler-Poincare characteristic $chi(Gamma)$ annihilates the class $[id]$." @default.
- W2043153262 created "2016-06-24" @default.
- W2043153262 creator A5070167446 @default.
- W2043153262 date "2000-11-23" @default.
- W2043153262 modified "2023-09-27" @default.
- W2043153262 title "Torsion in K-theory for boundary actions on affine buildings of type $tA_n$" @default.
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