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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

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

Author(s): Carla Farsi; Neil Watling
Journal: Proc. Amer. Math. Soc. 125 (1997), 209-217.
MSC (1991): Primary 46L80, 46L40
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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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Additional Information:

Carla Farsi
Affiliation: Carla Farsi, Department of Mathematics, University of Colorado, Campus Box 395, Boulder, Colorado 80309--0395.
Email: farsi@euclid.colorado.edu

Neil Watling
Affiliation: Neil Watling, Department of Mathematics, Widener University, 1 University Place, Chester, Pennsylvania 19013-5792
Email: watling@kuratowski.math.widener.edu

DOI: 10.1090/S0002-9939-97-03578-8
PII: S 0002-9939(97)03578-8
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
Copyright of article: Copyright 1997, American Mathematical Society


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