TY - JOUR
T1 - Ordered group invariants for nonorientable one-dimensional generalized solenoids
AU - Yi, Inhyeop
PY - 2003/4
Y1 - 2003/4
N2 - Let f: X → X be an edge-wrapping rule which presents a one-dimensional generalized solenoid X̄, and let M be the adjacency matrix of f. When X is a wedge of circles and f leaves the unique branch point fixed, we show that the stationary dimension group of M is an invariant of homeomorphism of X̄ even if X̄ is not orientable.
AB - Let f: X → X be an edge-wrapping rule which presents a one-dimensional generalized solenoid X̄, and let M be the adjacency matrix of f. When X is a wedge of circles and f leaves the unique branch point fixed, we show that the stationary dimension group of M is an invariant of homeomorphism of X̄ even if X̄ is not orientable.
KW - One-dimensional generalized solenoid
KW - Ordered group
KW - Orientable double cover
UR - http://www.scopus.com/inward/record.url?scp=0037383608&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-02-06794-1
DO - 10.1090/S0002-9939-02-06794-1
M3 - Article
AN - SCOPUS:0037383608
SN - 0002-9939
VL - 131
SP - 1273
EP - 1282
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 4
ER -