The coarse Baum--Connes conjecture and groupoids II

Details The coarse Baum--Connes conjecture and groupoids II The coarse Baum--Connes conjecture and groupoids II

2010-05-03

arxiv.org/abs/1005.0407v1

Mathematics

Operator Algebras

26 pages

Scientific paper

Given a (not necessarily discrete) proper metric space $M$ with bounded
geometry, we define a groupoid $G(M)$. We show that the coarse Baum--Connes
conjecture with coefficients, which states that the assembly map with
coefficients for G(M) is an isomorphism, is hereditary by taking closed
subspaces.

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