Groupoids associated with endomorphisms
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- by Valentin Deaconu PDF
- Trans. Amer. Math. Soc. 347 (1995), 1779-1786 Request permission
Abstract:
To a compact Hausdorff space which covers itself, we associate an $r$-discrete locally compact Hausdorff groupoid. Its ${{\mathbf {C}}^ * }$-algebra carries an action of the circle allowing it to be regarded as a crossed product by an endomorphism and as a generalization of the Cuntz algebra ${O_p}$. We consider examples related to coverings of the circle and of a Heisenberg $3$-manifold.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 1779-1786
- MSC: Primary 46L55; Secondary 19K99, 20L15, 46L80, 54H20, 57N10
- DOI: https://doi.org/10.1090/S0002-9947-1995-1233967-5
- MathSciNet review: 1233967