Defines twisted crossed products of Banach algebras via families of representations and proves they form Banach algebras with universal properties; generalizes Packer-Raeburn trick to show L^p-twisted crossed products are stably isometrically isomorphic to untwisted ones.
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2 Pith papers cite this work. Polarity classification is still indexing.
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For coamenable inclusions S ≤ R of ergodic pmp relations, R is strongly ergodic iff S is; extends to group actions with countably many strongly ergodic ergodic components.
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Twisted crossed products of Banach algebras
Defines twisted crossed products of Banach algebras via families of representations and proves they form Banach algebras with universal properties; generalizes Packer-Raeburn trick to show L^p-twisted crossed products are stably isometrically isomorphic to untwisted ones.
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Coamenability and strong ergodicity
For coamenable inclusions S ≤ R of ergodic pmp relations, R is strongly ergodic iff S is; extends to group actions with countably many strongly ergodic ergodic components.