Boundary $C^*$-algebras of triangle geometries
Operator Algebras
2014-07-29 v1 Group Theory
K-Theory and Homology
Abstract
Let be a building of type and order , with maximal boundary . Let be a group of type preserving automorphisms of which acts regularly on the chambers of . Then the crossed product -algebra is isomorphic to , where denotes the Cuntz algebra generated by isometries whose range projections sum to the identity operator.
Keywords
Cite
@article{arxiv.1308.0908,
title = {Boundary $C^*$-algebras of triangle geometries},
author = {Guyan Robertson},
journal= {arXiv preprint arXiv:1308.0908},
year = {2014}
}