منابع مشابه
Induced C* -algebras and Landstad Duality for Twisted Coactions
Suppose N is a closed normal subgroup of a locally compact group G. A coaction e: A —» M(A ® C*(N)) of N on a C*-algebra A can be inflated to a coaction S of G on A , and the crossed product A x¿ G is then isomorphic to the induced C*-algebra Ind^A xe N . We prove this and a natural generalization in which A xf N is replaced by a twisted crossed product A x G/N G ; in case G is abelian, we reco...
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Consider a coaction δ of a locally compact group G on a C-algebra A, and a closed normal subgroup N of G. We prove, following results of Echterhoff for abelian G, that Mansfield’s imprimitivity between A ×δ| G/N and A ×δ G ×δ̂,r N implements equivalences between Mansfield induction of representations from A×G/N to A×G and restriction of representations fromA×G×rN to A × G, and between restrictio...
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We study coactions of concrete Hopf C -bimodules in the framework of (weak) C pseudo-Kac systems, define reduced crossed products and dual coactions, and prove an analogue of Baaj-Skandalis duality.
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In this note a functorial approach to the integration problem of an LAgroupoid to a double Lie groupoid is discussed. To do that, we study the notions of fibred products in the categories of Lie groupoids and Lie algebroids, giving necessary and sufficient conditions for the existence of such. In particular, it turns out, that the fibred product of Lie algebroids along integrable morphisms is a...
متن کاملFull Crossed Products by Coactions,
Let δ be a coaction of a locally compact group G on a C*-algebra A. We show that if I is a δ-invariant ideal in A, then 0! I¬δ I G!A¬δ G! (A}I )¬δI G! 0 for full crossed products, as Landstad et al. have done for spatial crossed products by coactions. We prove that for suitable coactions, the crossed products of C ! (X )-algebras are again C ! (X )-algebras, and the crossed products of continuo...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2013
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2012.720323