We construct a Baum-Connes assembly map localised at the unit element of a discrete group. This morphism, called, is defined in -theory with coefficients in by means of the action of the idempotent canonically associated to the group trace of. We show that the corresponding -Baum-Connes conjecture is weaker than the classical version, but still implies the strong Novikov conjecture. The right-hand side of is functorial with respect to the group.
The Baum-Connes conjecture localised at the unit element of a discrete group
Azzali S.;
2021-01-01
Abstract
We construct a Baum-Connes assembly map localised at the unit element of a discrete group. This morphism, called, is defined in -theory with coefficients in by means of the action of the idempotent canonically associated to the group trace of. We show that the corresponding -Baum-Connes conjecture is weaker than the classical version, but still implies the strong Novikov conjecture. The right-hand side of is functorial with respect to the group.File in questo prodotto:
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AAS3_tau from CMfinal for arxiv update.pdf
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