Abstract
LetA θ be the irrational rotation algebra, i.e. theC *-algebra generated by two unitariesU, V satisfyingVU=e 2πiθ UV, with θ irrational, and consider the fixed point subalgebraB θ under the flip automorphismU→U −1,V→V −1. We prove thatB θ is an AF-algebra.
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Communicated by A. Jaffe
Dedicated to Professor Huzihiro Araki on the occasion of his 60'th birthday
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Bratteli, O., Kishimoto, A. Non-commutative spheres. Commun.Math. Phys. 147, 605–624 (1992). https://doi.org/10.1007/BF02097244
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DOI: https://doi.org/10.1007/BF02097244