If a proper Γ-space with equivariant bounded geometry equivariantly and coarsely embeds into an admissible Hilbert-Hadamard space, then the rational analytic equivariant coarse Novikov conjecture holds.
$\ell^p$-coarse Baum-Connes conjecture for $\ell^{q}$-coarse embeddable spaces
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abstract
We prove an $\ell^p$-version of the coarse Baum-Connes conjecture for spaces that coarsely embedds into $\ell^q$-spaces for any $p$ and $q$ in $[1,\infty)$.
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Hilbert-Hadamard spaces and the equivariant coarse Novikov conjecture
If a proper Γ-space with equivariant bounded geometry equivariantly and coarsely embeds into an admissible Hilbert-Hadamard space, then the rational analytic equivariant coarse Novikov conjecture holds.