Boundary $C^*$-algebras for acylindrical groups

Guyan Robertson

Boundary $C^*$-algebras for acylindrical groups

Operator Algebras 2013-03-13 v2 Group Theory

Authors: Guyan Robertson

Abstract

Let $\Delta$ be an infinite, locally finite tree with more than two ends. Let $\Gamma<\aut(\Delta)$ be an acylindrical uniform lattice. Then the boundary algebra $\cl A_\Gamma = C(\partial\Delta)\rtimes \Gamma$ is a simple Cuntz-Krieger algebra whose K-theory is determined explicitly.

Keywords

graph algebras c*-algebras cuntz semigroup

Cite

@article{arxiv.0710.3460,
  title  = {Boundary $C^*$-algebras for acylindrical groups},
  author = {Guyan Robertson},
  journal= {arXiv preprint arXiv:0710.3460},
  year   = {2013}
}

Comments

Some typos and the final paragraph of Example 5.1 have been corrected

Related papers

View all related →