Location of Repository

Relatively hyperbolic groups are C*-simple

By G. Arzhantseva and A. Minasyan


We characterize relatively hyperbolic groups whose reduced C*-algebra is simple as those, which have no non-trivial finite normal subgroups

Topics: QA
Year: 2007
OAI identifier: oai:eprints.soton.ac.uk:46731
Provided by: e-Prints Soton

Suggested articles



  1. (1979). C∗-algebras associated with free products of groups,
  2. (2003). Combination of convergence groups,
  3. (2006). Elementary subgroups of relatively hyperbolic groups and bounded generation,
  4. (1988). Groupes hyperboliques, alg` ebres d’op´ erateurs et un th´ eor` eme de
  5. (2000). Groups with simple reduced
  6. (2005). Hadamard spaces with isolated flats,
  7. (1987). Hyperbolic groups,
  8. (2002). Introduction to the Baum-Connes conjecture, Birkh¨ auser Verlag,
  9. (2005). Limit groups as limits of free groups,
  10. (2004). Mapping class groups and outer automorphism groups of free groups are C∗-simple,
  11. (1943). On rings of operators.
  12. (2005). On Simplicity of Reduced C∗-algebras of Groups, preprint,
  13. (1983). Reduced C∗-algebras of discrete groups which are simple with a unique trace, Operator algebras and their connections with topology and ergodic theory (Bu¸ steni,
  14. (1998). Relatively hyperbolic groups,
  15. (1998). Relatively hyperbolic groups, preprint,
  16. (2006). Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems,
  17. (1975). Simplicity of the C∗-algebra associated with the free group on two generators,
  18. (2003). Simplicity of the reduced C∗-algebras of certain Coxeter groups,
  19. (1994). Some groups whose reduced C∗-algebra is simple,
  20. (1996). Sous-groupes distingu´ es quotients des groupes hyperboliques,
  21. (2006). The SQ–universality and residual properties of relatively hyperbolic groups, preprint,
  22. (2005). Tree graded spaces and asymptotic cones, with appendix by

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.