Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On the relation between $C^*$-algebras of foliations and those of their coverings
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by Xiaolu Wang
Proc. Amer. Math. Soc. 102 (1988), 355-360
DOI: https://doi.org/10.1090/S0002-9939-1988-0920999-9
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Abstract:

By using the theory of groupoid equivalence of P. S. Muhly, J. N. Renault and D. P. Williams (cf. [5, 7]), we identify the relation between the ${C^*}$-algebra of a foliated manifold and those of its regular covering foliations.
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 355-360
  • MSC: Primary 46L05,; Secondary 46L55,57R30,58G12
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0920999-9
  • MathSciNet review: 920999