Ordered group invariants for nonorientable one-dimensional generalized solenoids

Yi, Inhyeop

doi:10.1090/S0002-9939-02-06794-1

Ordered group invariants for nonorientable one-dimensional generalized solenoids
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Proc. Amer. Math. Soc. 131 (2003), 1273-1282 Request permission

Abstract:

Let $f\colon X\to X$ be an edge-wrapping rule which presents a one-dimensional generalized solenoid $\overline {X}$, 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 $\overline {X}$ even if $\overline {X}$ is not orientable.

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