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Abstract Characterizationsof Fixed Point Sub Algebrasof the Rotation Algebra

Published online by Cambridge University Press:  20 November 2018

Carla Farsi  and
Neil Watling
Carla Farsi
Affiliation:
Department of Mathematics, University of Colorado Boulder, Colorado 80309-0395, U.S.A.
Neil Watling
Affiliation:
Department of Mathematics SUNY at Buffalo Buffalo, New York 14214-3093, U.S.A
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Abstract

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We determine abstract characterizations of the fixed point subalgebras of the rotation algebra under the automorphisms and .

Keywords

46L0546L4046L55
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 6 , 01 December 1994 , pp. 1211 - 1237
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Bratteli, O., Elliott, G. A., Evans, D. E. and Kishimoto, A., Non commutative spheres I, Internat. J. Math. 2(1991), 139–166.Google Scholar
2. Bratteli, O., Non commutative spheres II, Rational Rotations, J. Operator Theory, to appear.Google Scholar
3. Bratteli, O. and Kishimoto, A., Non-commutative spheres III. Irrational rotations, Comm. Math. Phys. 147(1992), 605–624.Google Scholar
4. Bratteli, O. and Robinson, D. W., Operator Algebras and Quantum Statistical Mechanics I, 2nd Ed., Springer-Verlag, New York, 1987.Google Scholar
5. Brenken, B. A., Representations and automorphisms of the irrational rotation algebra, Pacific J. Math. 111(1984), 257–282.Google Scholar
6. Elliott, G. A., The diffeomorphism group of the irrational rotation C*-algebra, C. R. Math. Rep. Acad. Sci. Canada VIII( 1986), 329–334.Google Scholar
7. Elliott, G. A. and Evans, D. E., The structure of the irrational rotation C*-algebra, Ann. of Math., to appear.Google Scholar
8. Farsi, C. and Watling, N., Fixed point subalgebras of the rotation algebra, C. R. Math. Rep. Acad. Sci. Canada XIII(1991), 75–80.Google Scholar
9. Farsi, C., Trivial fixed point subalgebras of the rotation algebra, Math. Scand. 72(1993), 298–302.Google Scholar
10. Farsi, C., Quartic algebras, Canad. J. Math 44(1992), 1167–1191.Google Scholar
11. Farsi, C., Cubic Algebras, J. Operator Theory, to appear.Google Scholar
12. Farsi, C., Elliptic Algebras, J. Funct. Anal. 118(1993), 1–21.Google Scholar
13. Kodaka, K., A diffeomorphism of an irrational rotation C*-algebra by a non-generic rotation, J. Operator Theory 23(1990), 73–79.Google Scholar
14. Kumjian, A., On the K-theory of the symmetrized non-commutative torus, C. R. Math. Rep. Acad. Sci. Canada XII( 1990), 87–89.Google Scholar
15. Pedersen, G. K., C*-Algebras and their Automorphism Groups, Academic Press, New York, 1979.Google Scholar
16. Putnam, I. F., On the topological stable rank of certain transformation group C*-algebras, Ergodic Theory Dynamical Systems 10(1990), 197–207.Google Scholar