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Ordered group invariants for nonorientable one-dimensional generalized solenoids

Authors:	Inhyeop Yi

Institution:	Department of Mathematics, University of Maryland, College Park, Maryland 20742

Abstract:	Let $f\colon X\to X$ be an edge-wrapping rule which presents a one-dimensional generalized solenoid $\overline{X}$ , and let be the adjacency matrix of . When is a wedge of circles and leaves the unique branch point fixed, we show that the stationary dimension group of is an invariant of homeomorphism of $\overline{X}$ even if $\overline{X}$ is not orientable.

Keywords:	One-dimensional generalized solenoid orientable double cover ordered group

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