Induced -algebras and Landstad duality for twisted coactions

Authors:
John C. Quigg and Iain Raeburn

Journal:
Trans. Amer. Math. Soc. **347** (1995), 2885-2915

MSC:
Primary 46L55; Secondary 46L40

MathSciNet review:
1297536

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Abstract: Suppose is a closed normal subgroup of a locally compact group . A coaction of on a -algebra can be inflated to a coaction of on , and the crossed product is then isomorphic to the induced -algebra Ind. We prove this and a natural generalization in which is replaced by a twisted crossed product ; in case is abelian, we recover a theorem of Olesen and Pedersen. We then use this to extend the Landstad duality of the first author to twisted crossed products, and give several applications. In particular, we prove that if

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DOI:
https://doi.org/10.1090/S0002-9947-1995-1297536-3

Article copyright:
© Copyright 1995
American Mathematical Society