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

Farsi, Carla; Watling, Neil

doi:10.1090/S0002-9939-97-03578-8

Fixed point subalgebras of rational higher-dimensional non-commutative tori
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by Carla Farsi and Neil Watling PDF

Proc. Amer. Math. Soc. 125 (1997), 209-217 Request permission

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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