An imprimitivity theorem for algebraic groups
نویسندگان
چکیده
منابع مشابه
A Mackey Imprimitivity Theory for Algebraic Groups *
Let G be an affine algebraic group over an algebraically closed field k and let H be a closed subgroup of G. If V is a rational H-module (a comodule for the coordinate ring of H) there is a now well-known notion of an induced module VI G for G, defined as the space Morph/~(G, V) of all H-equivariant morphisms from G to a finite dimensional subspace of V, with obvious G-action. The question aris...
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Let δ be a nondegenerate coaction of G on a C∗-algebra B, and let H be a closed subgroup of G. The dual action δ̂ : H → Aut(B×δ G) is proper and saturated in the sense of Rieffel, and the generalised fixed-point algebra is the crossed product of B by the homogeneous space G/H . The resulting Morita equivalence is a version of Mansfield’s imprimitivity theorem which requires neither amenability n...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1980
ISSN: 1385-7258
DOI: 10.1016/1385-7258(80)90007-4