Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
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| Speaker: |
Hervé Oyono-Oyono, Clermont-Ferrand
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| Title: |
K-theory for certain expanders |
| Abstract: |
(Joint work with G.
Yu) For a discrete group Γ which satisfies the property τ with
respect to a family (Γi)i∈N
of finite index normal subgroups, the behaviours of the coarse
Baum-Connes conjecture for the associated family of expanders and of the
Baum-Connes conjecture for Γ differ substancially as we can see
for Γ=SL2(Z). As we shall see, if we consider the
maximal version of both conjectures, then their behaviours became quite similar.
As an application, I will discuss the injectivity of the coarse
assembly map for certain expanders.
We shall see also that these questions are closely related to the
asymptotic properties of some "quantitative" assembly maps for the
family (Γi)i∈N.
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ruppo di |
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taliano in |
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ometria |
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echerche |
uropéen |
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ométrie |
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