TBA

Prelegent(ci)

HERVÉ OYONO-OYONO

Afiliacja

Université de Lorraine, Metz, France

Termin

22 listopada 2023 17:15

Informacje na temat wydarzenia

405 IMPAN & ZOOM

Tytuł w języku angielskim

GEOMETRIC DECOMPOSABILITY FOR GROUPOIDS

Seminarium

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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