RT preprint
T1 Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras
A1 Exel, Ruy
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Kirchberg algebra
K1 Katsura algebra
K1 Nekrashevych algebra
K1 tight representation
K1 inverse semigroup
K1 groupoid
K1 groupoid C*-algebra
AB We study a family of C*-algebras generalizing both Katsura algebras and certain algebras introduced by Nekrashevych in terms of self-similar groups. For these new algebras, we obtain pictures as Cuntz-Pimsner algebras, as well as groupoid C*-algebras. We apply these pictures to characterize simplicity for these algebras, among others.
PB arXiv.org
YR 2014
FD 2014-09-03T00:00:00Z
LK http://hdl.handle.net/10498/16637
UL http://hdl.handle.net/10498/16637
LA eng
NO The first-named author was partially supported by CNPq. The second-named author was partially supported by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de Andalucía and by the DGI-MICINN and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02.
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026