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ISSN 1088-6850(e) ISSN 0002-9947(p)

The range of traces on quantum Heisenberg manifolds

Author(s): Beatriz Abadie
Journal: Trans. Amer. Math. Soc. 352 (2000), 5767-5780.
MSC (2000): Primary 46L80; Secondary 46L55
Posted: August 21, 2000
MathSciNet review: 1781278
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Abstract:

We embed the quantum Heisenberg manifold $D_{\mu\nu}^{c}$ in a crossed product ${C}^*$ -algebra. This enables us to show that all tracial states on $D_{\mu\nu}^{c}$ induce the same homomorphism on $K_0(D_{\mu\nu}^{c})$ , whose range is the group $\mathbf{Z} +2\mu\mathbf{Z} + 2\nu\mathbf{Z}$ .

References:

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