On the characteristic polynomial of the almost Mathieu operator

Authors:
Michael P. Lamoureux and James A. Mingo

Journal:
Proc. Amer. Math. Soc. **135** (2007), 3205-3215

MSC (2000):
Primary 47B39; Secondary 47B15, 46L05

Published electronically:
May 14, 2007

MathSciNet review:
2322751

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Michael P. Lamoureux**

Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2T 1A1

Email:
mikel@math.ucalgary.ca

**James A. Mingo**

Affiliation:
Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6

Email:
mingo@mast.queensu.ca

DOI:
https://doi.org/10.1090/S0002-9939-07-08830-2

Received by editor(s):
April 3, 2006

Received by editor(s) in revised form:
June 19, 2006

Published electronically:
May 14, 2007

Additional Notes:
Research supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2007
American Mathematical Society