RT Journal Article
T1 The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.
A1 Bagio, Dirceu
A1 Gil-Canto, Cristóbal
A1 Gonçalves, Daniel
A1 Royer, Danilo
K1 Algebra lineal
AB Let R be a commutative unital ring, X a subshift, and A_R(X) the corresponding unital subshift algebra. We establish the reduction theorem for A_R(X). As a consequence, we obtain a Cuntz-Krieger uniqueness theorem for A_R(X) and we show that A_R(X) is semiprimitive (resp. semiprime) whenever R is a field (resp. a domain).
PB Springer
YR 2024
FD 2024-02-21
LK https://hdl.handle.net/10630/30901
UL https://hdl.handle.net/10630/30901
LA eng
NO Bagio, D., Gil Canto, C., Gonçalves, D. et al. The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 72 (2024).
NO The third author was partially supported by Fapesc - Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina, Capes-Print, and CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil. The second author was supported by the Spanish Ministerio de Ciencia e Innovación   through project  PID2019-104236GB-I00/AEI/10.13039/\- 501100011033 and by the Junta de Andalucía  through project FQM-336,  all of them with FEDER funds.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026