Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2T 1A1 ; Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6
Abstract:
Let be the rotation C*-algebra for angle . For with and relatively prime, is the sub-C*-algebra of generated by a pair of unitaries and satisfying . Let
be the almost Mathieu operator. By proving an identity of rational functions we show that for even, the constant term in the characteristic polynomial of is .