Groupoids associated with endomorphisms

Author:
Valentin Deaconu

Journal:
Trans. Amer. Math. Soc. **347** (1995), 1779-1786

MSC:
Primary 46L55; Secondary 19K99, 20L15, 46L80, 54H20, 57N10

MathSciNet review:
1233967

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Abstract: To a compact Hausdorff space which covers itself, we associate an -discrete locally compact Hausdorff groupoid. Its -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 . We consider examples related to coverings of the circle and of a Heisenberg -manifold.

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DOI:
https://doi.org/10.1090/S0002-9947-1995-1233967-5

Article copyright:
© Copyright 1995
American Mathematical Society