Crossed Products by Dual Coactions of Groups and Homogeneous Spaces

Details Crossed Products by Dual Coactions of Groups and Homogeneous Spaces Crossed Products by Dual Coactions of Groups and Homogeneous Spaces

1996-08-29

arxiv.org/abs/funct-an/9608006v1

Mathematics

Operator Algebras

LaTeX-2e, 19 pages, requires pb-diagram.sty ((E) University of Paderborn, Germany (K,R) University of Newcastle, Australia)

Scientific paper

Mansfield showed how to induce representations of crossed products of C*-algebras by coactions from crossed products by quotient groups and proved an imprimitivity theorem characterising these induced representations. We give an alternative construction of his bimodule in the case of dual coactions, based on the symmetric imprimitivity theorem of the third author; this provides a more workable way of inducing representations of crossed products of C*-algebras by dual coactions. The construction works for homogeneous spaces as well as quotient groups, and we prove an imprimitivity theorem for these induced representations.

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