RT Journal Article
T1 Leavitt path algebras of Cayley graphs C_n^j.
A1 Abrams, Gene
A1 Erickson, Stefan
A1 Gil-Canto, Cristóbal
K1 Sucesiones (Matemáticas)
K1 Álgebra
AB Let n be a positive integer. For each 0 <= j <= n-1 we let C_n^j denote the Cayley graph of the cyclic group Zn with respect to the subset {1,j}. Utilizing the Smith Normal Form process, we give an explicit description of the Grothendieck group of each of the Leavitt path algebras LK(C_n^j) for any  field K. Our general method significantly streamlines the approach that was used in previous work to establish this description in the specific case j = 2. Along the way, we give necessary andsufficient conditions on the pairs (j; n) which yield that this group is infinite. We subsequently focus on the case j = 3, where the structure of this group turns out to be related to a Fibonacci-like sequence, called the Narayana's Cows sequence.
PB Springer Nature
YR 2018
FD 2018-09-15
LK https://hdl.handle.net/10630/30584
UL https://hdl.handle.net/10630/30584
LA eng
NO Abrams, G., Erickson, S. & Gil Canto, C. Leavitt Path Algebras of Cayley Graphs  . Mediterr. J. Math. 15, 197 (2018). https://doi.org/10.1007/s00009-018-1246-1
NO Política de acceso abierto tomada de: https://v2.sherpa.ac.uk/id/publication/14326?template=romeo
NO The  first author was partially supported by a Simons Foundation Collaboration Grant #208941.The third author was partially supported by the Spanish MEC and Fondos FEDER through projects MTM2013-41208-P and MTM2016-76327-C3-1-P; by the Junta de Andalucía and Fondos FEDER, jointly, through project FQM-7156; and by the grant "Ayudas para la realización de estancias en centros de investigación de calidad" of the "Plan Propio de Investigación y Transferencia" of the University of Málaga, Spain.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026