科研之友
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摘要
Let A be the C*-algebra associated with SUq(2), let pi be the representation by left multiplication on the L-2 space of the Haar state and let D be the equivariant Dirac operator for this representation constructed by the authors earlier. We prove in this article that there is no operator other than the scalars in the commutant pi(A)' that has bounded commutator with D. This implies that the equivariant spectral triple under consideration does not admit a rational Poincare dual in the sense of Moscovici, which in particular means that this spectral triple does not extend to a K-homology fundamental class for SUq(2). We also show that a minor modification of this equivariant spectral triple gives a fundamental class and thus implements Poincare duality.
- 出版日期2010-8
- 单位常州工学院
