Ordered group invariants for nonorientable one-dimensional generalized solenoids
Inhyeop Yi · Proceedings of the American Mathematical Society · 2002
Let f : X → X f\colon X\to X be an edge-wrapping rule which presents a one-dimensional generalized solenoid X ¯ \overline {X} , and let M M be the adjacency matrix of f f . When X X is a wedge of circles and f f leaves the unique branch point fixed, we show that the stationary dimension group of M M is an invariant of homeomorphism of X ¯ \overline {X} even if X ¯ \overline {X} is not orientable.