The range of traces on quantum Heisenberg manifolds

Author:
Beatriz Abadie

Journal:
Trans. Amer. Math. Soc. **352** (2000), 5767-5780

MSC (2000):
Primary 46L80; Secondary 46L55

DOI:
https://doi.org/10.1090/S0002-9947-00-02690-8

Published electronically:
August 21, 2000

MathSciNet review:
1781278

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Abstract | References | Similar Articles | Additional Information

We embed the quantum Heisenberg manifold in a crossed product -algebra. This enables us to show that all tracial states on induce the same homomorphism on , whose range is the group .

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Additional Information

**Beatriz Abadie**

Affiliation:
Centro de Matemáticas, Facultad de Ciencias, Iguá 4225, CP 11 400, Montevideo, Uruguay

Email:
abadie@cmat.edu.uy

DOI:
https://doi.org/10.1090/S0002-9947-00-02690-8

Received by editor(s):
December 2, 1996

Published electronically:
August 21, 2000

Additional Notes:
Partially supported by Conicyt (Proyecto 2002), Uruguay. Part of the material in this work was contained in the author’s Ph.D. dissertation submitted to the University of California at Berkeley in May 1992.

Article copyright:
© Copyright 2000
American Mathematical Society