On Crossed Products by Coactions and Their Representation Theory

DOI10.1112/plms/s3-64.3.625zbMath0722.46030OpenAlexW2048580315MaRDI QIDQ3209652

Iain Raeburn

Publication date: 1992

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-64.3.625

zbMATH Keywords

crossed productcovariant representationcoactionnuclear\(C^ *\)-algebratwisted actionduality theorems of Takai and Imai-Takaiduals of arbitrary locally compact groups are amenableuniversal properties of crossed products

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Duality theorems for locally compact groups (22D35) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (12)

Free actions of groups on separated graph 𝐶*-algebras ⋮ Three bimodules for Mansfield's imprimitivity theorem ⋮ APPROXIMATION PROPERTIES FOR CROSSED PRODUCTS BY ACTIONS AND COACTIONS ⋮ Full and reduced C*-coactions ⋮ \(C^\ast \)-operator systems and crossed products ⋮ Erratum to “Full and reduced C*-coactions”. Math. Proc. Camb. Phil. Soc. 116 (1994), 435–450 ⋮ Duality of restriction and induction for 𝐶*-coactions ⋮ Discrete coactions on Hilbert C*-modules ⋮ Proper actions, fixed-point algebras and naturality in nonabelian duality ⋮ EXTERIOR EQUIVALENCE FOR POINTWISE UNITARY COACTIONS ⋮ Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers ⋮ Equilibrium states on higher-rank Toeplitz non-commutative solenoids

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