科研之友
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摘要
Let M be a closed connected manifold and let D be an elliptic operator on M. Let G be a discrete countable group and let (M) over tilde -> M be a principal G-bundle. Connes and Moscovici showed that this data defines an analytic index ind(l1(G))(D) epsilon K-0(l(1)(G)). If B is a unital tracial C*-algebra, we give a formula for the trace of the image of ind(l1(G))(D) in K-0(B) under the map induced by a quasi-representation of G in B. As an application, we reprove and generalize a formula of Exel and Loring to surface groups.
- 出版日期2012-9
