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Fixed point subalgebras of rational higher-dimensional non-commutative tori

Authors: Carla Farsi and Neil Watling
Journal: Proc. Amer. Math. Soc. 125 (1997), 209-217
MSC (1991): Primary 46L80, 46L40
MathSciNet review: 1350941
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Abstract: We consider the fixed point subalgebras of higher-dimensional rational non-commutative tori induced by finite order automorphisms derived from a diagonal extension of the canonical ${SL(2,{\mathbb Z} )} $ action on rotation algebras. We give an alternative characterization and determine their $K$-theory.

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Carla Farsi
Affiliation: Carla Farsi, Department of Mathematics, University of Colorado, Campus Box 395, Boulder, Colorado 80309–0395.

Neil Watling
Affiliation: Neil Watling, Department of Mathematics, Widener University, 1 University Place, Chester, Pennsylvania 19013-5792

Keywords: Non-commutative tori, fixed point $C^{*}$--algebras, classification
Received by editor(s): January 27, 1995
Received by editor(s) in revised form: July 27, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society