|SAM WALTERS, Department of Mathematics and Computer Science, University of Northern British Columbia, Prince George, British Columbia V2K 4A2, Canada|
|K-theory of non commutative spheres arising from the Fourier automorphism|
It is shown that for a dense set of the real number (containing the rationals) there is an isomorphism , where is the rotation -algebra generated by unitaries U,V satisfying and is the Fourier automorphism given by , . More precisely, a basis consisting of nine canonical modules is explicitly given. It is also shown that for a dense one has .