The Rieffel Projection Via Groupoids
C. R. Math. Rep. Acad. Sci. Canada Vol. 40 (2) 2018, pp. 55-60
June 30, 2018
George A. Elliott,Department of Mathematics, University of Toronto, Toronto, Canada M5S 2E4; e-mail: elliott@math.toronto.edu
Dickson Wong,Department of Mathematics, University of Toronto, Toronto, Canada M5S 2E4; e-mail: dickson.wong@mail.utoronto.ca
Abstract/Résumé:
An elementary groupoid construction is shown to underlie Rieffel’s Hilbert module construction of a non-trivial projection in the irrational rotation C*-algebra.
Une construction élémentaire de groupoïde se révèle à la base de la construction de Rieffel à module de Hilbert d’un projecteur non-trivial dans la C*-algèbre d’une rotation irrationnelle.
Keywords: Irrational rotation algebra, Rieffel projection, groupoid construction
AMS Subject Classification: General theory of $C^*$-algebras, $K$-theory and operator algebras (including cyclic theory), Noncommutative topology 46L05, 46L80, 46L85
AMS Subject Classification: General theory of $C^*$-algebras, $K$-theory and operator algebras (including cyclic theory), Noncommutative topology 46L05, 46L80, 46L85
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The Rieffel Projection Via Groupoids
