Full duality for coactions of discrete groups
نویسندگان
چکیده
منابع مشابه
Discrete U-duality Groups
Generators for the discrete U-duality groups of toroidally compactified M-theory in d ≥ 4 are presented and used to determine the d = 3 U-duality group. This contribution summarizes the results of [1].
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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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We give a condition on a full coaction (A,G, δ) of a (possibly) nonamenable group G and a closed normal subgroup N of G which ensures that Mansfield imprimitivity works; i.e. that A×δ| G/N is Morita equivalent to A×δ G×δ̂,r N . This condition obtains if N is amenable or δ is normal. It is preserved under Morita equivalence, inflation of coactions, the stabilization trick of Echterhoff and Raebur...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2002
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14374