GEOMETRIC DECOMPOSABILITY FOR GROUPOIDS

Speaker(s)

HERVÉ OYONO-OYONO

Affiliation

Université de Lorraine, Metz, France

Date

Nov. 22, 2023, 5:15 p.m.

Information about the event

405 IMPAN & ZOOM

Title in Polish

TBA

Seminar

North Atlantic Noncommutative Geometry Seminar

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Geometric decomposability for étale groupoids was introduced by E. Guentner, R. Willet and  G. Yu. The idea was to generalize the "cut and pasting" strategy developed by G. Yu in his proof of the Novikov conjecture for finitely generated groups with finite asymptotic dimension. In this lecture, we first extend this concept to locally compact Hausdorff groupoids and give applications to amenability of groupoids. We then provide applications to K-theory computations for crossed-product algebras. As a consequence, we state some hereditary results for the Baum-Connes conjecture with respect to geometric decomposability.

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