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 -