On Equivariant Coarse Baum-Connes Conjecture of Equivariant Coarse Embeddable Metric Spaces

Benyin Fu  (Shanghai Finance University)

9:30 am to 10:30 am, Mar 27th, 2015   A1510, Science Building


Given a bounded geometrical metric space with a proper and isometrical group action, there is an equivariant coarse higher index map between the coarse equivariant K-komology and the K-theory of the equivariant Roe algebras of the metric space. The equivariant coarse Baum-Connes conjecture claims that the index map above is an isomorphism. In this talk, we prove this conjecture for the metric spaces which admits an equivariant coarse embedding into Hilbert spaces.

This is a joint work with Xianjin Wang.

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