Geodesic
Groupoids decomposition, propagation and operator $K$-theory
Hervé Oyono-Oyono1
1Université de Lorraine, CNRS, Metz, France
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 751-804

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DOI

In this paper, we streamline the technique of groupoids coarse decomposition for purpose of K-theory computations of groupoids crossed products. This technique was first introduced by Guoliang Yu in his proof of Novikov conjecture for groups with finite asymptotic dimension. The main tool we use for these computations is controlled operator K-theory.
DOI : 10.4171/ggd/715
Classification : 19-XX, 22-XX, 46-XX
Mots-clés : Groupoids, operator K-theory, coarse geometry, Baum--Connes conjecture

Hervé Oyono-Oyono  1

1 Université de Lorraine, CNRS, Metz, France 
Hervé Oyono-Oyono. Groupoids decomposition, propagation and operator $K$-theory. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 751-804. doi: 10.4171/ggd/715
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     year = {2023},
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     number = {3},
     doi = {10.4171/ggd/715},
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