\begin{thebibliography}{CMSZ93}

\bibitem[AB94]{ACB}
Norbert A'Campo and Marc Burger.
\newblock R\'eseaux arithm\'etiques et commensurateur d'apr\`es {G}. {A}.
  {M}argulis.
\newblock {\em Invent. Math.}, 116(1-3):1--25, 1994.

\bibitem[AB08]{AB}
Peter Abramenko and Kenneth~S. Brown.
\newblock {\em Buildings}, volume 248 of {\em Graduate Texts in Mathematics}.
\newblock Springer, New York, 2008.
\newblock Theory and applications.

\bibitem[Ada94]{A}
Scott Adams.
\newblock Boundary amenability for word hyperbolic groups and an application to
  smooth dynamics of simple groups.
\newblock {\em Topology}, 33(4):765--783, 1994.

\bibitem[ADR00]{AR}
Claire Anantharaman-Delaroche and Jean Renault.
\newblock {\em Amenable groupoids}, volume~36 of {\em Monographies de
  L'Enseignement Math\'ematique [Monographs of L'Enseignement Math\'ematique]}.
\newblock L'Enseignement Math\'ematique, Geneva, 2000.

\bibitem[AEG94]{AEG}
Scot Adams, George~A. Elliott, and Thierry Giordano.
\newblock Amenable actions of groups.
\newblock {\em Trans. Amer. Math. Soc.}, 344(2):803--822, 1994.

\bibitem[Alp87]{Al}
Roger~C. Alperin.
\newblock An elementary account of {S}elberg's lemma.
\newblock {\em Enseign. Math.}, 33(3-4):269--273, 1987.

\bibitem[Bar00]{Bar}
Sylvain Barr{\'e}.
\newblock Immeubles de {T}its triangulaires exotiques.
\newblock {\em Ann. Fac. Sci. Toulouse Math. (6)}, 9(4):575--603, 2000.

\bibitem[BK02]{BKa}
Michelle Bucher and Anders Karlsson.
\newblock On the definition of bolic spaces.
\newblock {\em Expo. Math.}, 20(3):269--277, 2002.

\bibitem[BM96]{BM}
Marc Burger and Shahar Mozes.
\newblock {${\rm CAT}$}(-{$1$})-spaces, divergence groups and their
  commensurators.
\newblock {\em J. Amer. Math. Soc.}, 9(1):57--93, 1996.

\bibitem[Bou97]{Bou}
Marc Bourdon.
\newblock Immeubles hyperboliques, dimension conforme et rigidit\'e de
  {M}ostow.
\newblock {\em Geom. Funct. Anal.}, 7(2):245--268, 1997.

\bibitem[Bou07]{BBK}
Nicolas Bourbaki.
\newblock {\em Groupes et Alg{\`e}bres de Lie, Chapitre IV-VI}.
\newblock Springer-Verlag, 2007.

\bibitem[BS06]{BS06}
Uri Bader and Yehuda Shalom.
\newblock Factor and normal subgroup theorems for lattices in products of
  groups.
\newblock {\em Invent. Math.}, 163(2):415--454, 2006.

\bibitem[BT72]{BT}
Fran{\c{c}}ois Bruhat and Jacques Tits.
\newblock Groupes r\'eductifs sur un corps local.
\newblock {\em Inst. Hautes \'Etudes Sci. Publ. Math.}, (41):5--251, 1972.

\bibitem[BT84]{BT2}
Fran{\c{c}}oiss Bruhat and Jacques Tits.
\newblock Groupes r\'eductifs sur un corps local. {II}. {S}ch\'emas en groupes.
  {E}xistence d'une donn\'ee radicielle valu\'ee.
\newblock {\em Inst. Hautes \'Etudes Sci. Publ. Math.}, (60):197--376, 1984.

\bibitem[CL08]{CL}
Pierre-Emmanuel Caprace and Jean L{\'e}cureux.
\newblock Compactification combinatoire d'un immeuble.
\newblock {\em {Preprint}}, 2008.
\newblock Available at \url{http://arxiv.org/abs/0901.4188}.

\bibitem[CMSZ93]{CMSZ2}
Donald~I. Cartwright, Anna~Maria Mantero, Tim Steger, and Anna Zappa.
\newblock Groups acting simply transitively on the vertices of a building of
  type {$\tilde A\sb 2$}. {II}. {T}he cases {$q=2$} and {$q=3$}.
\newblock {\em Geom. Dedicata}, 47(2):167--223, 1993.

\bibitem[CR09]{CR}
Pierre-Emmanuel Caprace and Bertrand R{\'e}my.
\newblock Simplicity and superrigidity of twin building lattices.
\newblock {\em Invent. Math.}, 176(1):169--221, 2009.

\bibitem[Dav08]{Dav08}
Michael~W. Davis.
\newblock {\em The geometry and topology of {C}oxeter groups}, volume~32 of
  {\em London Mathematical Society Monographs Series}.
\newblock Princeton University Press, Princeton, NJ, 2008.

\bibitem[DJ99]{Ja}
Alexander Dranishnikov and Tadeusz Januszkiewicz.
\newblock Every {C}oxeter group acts amenably on a compact space.
\newblock In {\em Proceedings of the 1999 Topology and Dynamics Conference
  (Salt Lake City, UT)}, volume~24, pages 135--141, 1999.

\bibitem[GP01]{GaP}
Damien Gaboriau and Fr{\'e}d{\'e}ric Paulin.
\newblock Sur les immeubles hyperboliques.
\newblock {\em Geom. Dedicata}, 88(1-3):153--197, 2001.

\bibitem[GR06]{GuR}
Yves Guivarc'h and Bertrand R{\'e}my.
\newblock {Group-theoretic compactification of Bruhat-Tits buildings}.
\newblock {\em Annales scientifiques de l'ENS}, 39:871--920, 2006.

\bibitem[HR00]{HR}
Nigel Higson and John Roe.
\newblock Amenable group actions and the {N}ovikov conjecture.
\newblock {\em J. Reine Angew. Math.}, 519:143--153, 2000.

\bibitem[Kai04]{Ka}
Vadim~A. Kaimanovich.
\newblock Boundary amenability of hyperbolic spaces.
\newblock In {\em Discrete geometric analysis}, volume 347 of {\em Contemp.
  Math.}, pages 83--111. Amer. Math. Soc., Providence, RI, 2004.

\bibitem[KS03]{KaS}
Gennadi Kasparov and Georges Skandalis.
\newblock Groups acting properly on ``bolic'' spaces and the {N}ovikov
  conjecture.
\newblock {\em Ann. of Math. (2)}, 158(1):165--206, 2003.

\bibitem[Mar91]{Mar}
Grigory~A. Margulis.
\newblock {\em Discrete subgroups of semisimple {L}ie groups}, volume~17 of
  {\em Ergebnisse der Mathematik und ihrer Grenzgebiete (3)}.
\newblock Springer-Verlag, Berlin, 1991.

\bibitem[Mil76]{Mil}
John~J. Millson.
\newblock On the first {B}etti number of a constant negatively curved manifold.
\newblock {\em Ann. of Math. (2)}, 104(2):235--247, 1976.

\bibitem[Mon01]{Mon}
Nicolas Monod.
\newblock {\em Continuous bounded cohomology of locally compact groups}, volume
  1758 of {\em Lecture Notes in Mathematics}.
\newblock Springer-Verlag, Berlin, 2001.

\bibitem[Mon06]{Monod}
Nicolas Monod.
\newblock Superrigidity for irreducible lattices and geometric splitting.
\newblock {\em J. Amer. Math. Soc.}, 19(4):781--814 (electronic), 2006.

\bibitem[NV02]{NV}
Guennadi~A. Noskov and {\`E}rnest~B. Vinberg.
\newblock Strong {T}its alternative for subgroups of {C}oxeter groups.
\newblock {\em J. Lie Theory}, 12(1):259--264, 2002.

\bibitem[Oza06]{Oz}
Narutaka Ozawa.
\newblock Boundary amenability of relatively hyperbolic groups.
\newblock {\em Topology Appl.}, 153(14):2624--2630, 2006.

\bibitem[Pat88]{Pat}
Alan L.~T. Paterson.
\newblock {\em Amenability}, volume~29 of {\em Mathematical Surveys and
  Monographs}.
\newblock American Mathematical Society, Providence, RI, 1988.

\bibitem[R{\'e}m04]{RGAF}
Bertrand R{\'e}my.
\newblock Topological simplicity, commensurator super-rigidity and
  non-linearities of {K}ac-{M}oody groups.
\newblock {\em Geom. Funct. Anal.}, 14(4):810--852, 2004.
\newblock With an appendix by P. Bonvin.

\bibitem[Ron86]{Ron}
Mark~A. Ronan.
\newblock A construction of buildings with no rank {$3$} residues of spherical
  type.
\newblock In {\em Buildings and the geometry of diagrams ({C}omo, 1984)},
  volume 1181 of {\em Lecture Notes in Math.}, pages 242--248. Springer,
  Berlin, 1986.

\bibitem[Ron89]{Ro}
Mark Ronan.
\newblock {\em Lectures on buildings}, volume~7 of {\em Perspectives in
  Mathematics}.
\newblock Academic Press Inc., Boston, MA, 1989.

\bibitem[Rou77]{Rou}
Guy Rousseau.
\newblock {\em Immeubles des groupes r\'educitifs sur les corps locaux}.
\newblock U.E.R. Math\'ematique, Universit\'e Paris XI, Orsay, 1977.
\newblock Th{\`e}se de doctorat, Publications Math{\'e}matiques d'Orsay, No.
  221-77.68.

\bibitem[RR06]{RR}
Bertrand R{\'e}my and Mark Ronan.
\newblock Topological groups of {K}ac-{M}oody type, right-angled twinnings and
  their lattices.
\newblock {\em Comment. Math. Helv.}, 81(1):191--219, 2006.

\bibitem[RS96]{RS}
Guyan Robertson and Tim Steger.
\newblock {$C\sp *$}-algebras arising from group actions on the boundary of a
  triangle building.
\newblock {\em Proc. London Math. Soc.}, 72(3):613--637, 1996.

\bibitem[Tit81]{Tit81}
Jacques Tits.
\newblock A local approach to buildings.
\newblock In {\em The geometric vein}, pages 519--547. Springer, New York,
  1981.

\bibitem[Tit92]{Ti}
Jacques Tits.
\newblock Twin buildings and groups of {K}ac-{M}oody type.
\newblock In {\em Groups, combinatorics \& geometry (Durham, 1990)}, volume 165
  of {\em London Math. Soc. Lecture Note Ser.}, pages 249--286. Cambridge Univ.
  Press, Cambridge, 1992.

\bibitem[Yu00]{Yu}
Guoliang Yu.
\newblock The coarse {B}aum-{C}onnes conjecture for spaces which admit a
  uniform embedding into {H}ilbert space.
\newblock {\em Invent. Math.}, 139(1):201--240, 2000.

\bibitem[Zim78]{Zim}
Robert~J. Zimmer.
\newblock Amenable ergodic group actions and an application to {P}oisson
  boundaries of random walks.
\newblock {\em J. Functional Analysis}, 27(3):350--372, 1978.

\bibitem[Zim84]{Zimmer}
Robert~J. Zimmer.
\newblock {\em Ergodic theory and semisimple groups}, volume~81 of {\em
  Monographs in Mathematics}.
\newblock Birkh\"auser Verlag, Basel, 1984.

\end{thebibliography}