Ordered group invariants for nonorientable one-dimensional generalized solenoids
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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.References
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Additional Information
- Inhyeop Yi
- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- Address at time of publication: Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada V8W 3P4
- Email: inhyeop@math.umd.edu, yih@math.uvic.ca
- Received by editor(s): June 27, 2001
- Published electronically: November 20, 2002
- Communicated by: Michael Handel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1273-1282
- MSC (1991): Primary 58F03, 58F12, 54H20
- DOI: https://doi.org/10.1090/S0002-9939-02-06794-1
- MathSciNet review: 1948120