ℓ^p-pseudofunctions produce well-behaved crossed product functors whose Banach algebras and C*-envelopes are independent of Hilbert space choice and exotic for some non-amenable actions.
Bowen, Random walks on random coset spaces with applications to Furstenberg entropy , Invent
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Crossed product functors associated to $\ell^p$-pseudofunctions
ℓ^p-pseudofunctions produce well-behaved crossed product functors whose Banach algebras and C*-envelopes are independent of Hilbert space choice and exotic for some non-amenable actions.