15,031 research outputs found

    Race and Socioeconomic Factors Affect Opportunities for Better Health

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    Examines racial/ethnic disparities in mortality and diabetes rates and the links between income and health within and across groups. Explores how race/ethnicity affects income at a given education level or socioeconomic conditions at a given income level

    Induction in stages for crossed products of C*-algebras by maximal coactions

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    Let B be a C*-algebra with a maximal coaction of a locally compact group G, and let N and H be closed normal subgroups of G with N contained in H. We show that the process Ind_(G/H)^G which uses Mansfield's bimodule to induce representations of the crossed product of B by G from those of the restricted crossed product of B by (G/H) is equivalent to the two-stage induction process: Ind_(G/N)^G composed with Ind_(G/H)^(G/N). The proof involves a calculus of symmetric imprimitivity bimodules which relates the bimodule tensor product to the fibred product of the underlying spaces.Comment: 38 pages, LaTeX, uses Xy-pic; significant reorganization of previous version; short section on regularity of induced representations adde

    Full and reduced coactions of locally compact groups on C*-algebras

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    We survey the results required to pass between full and reduced coactions of locally compact groups on C*-algebras, which say, roughly speaking, that one can always do so without changing the crossed-product C*-algebra. Wherever possible we use definitions and constructions that are well-documented and accessible to non-experts, and otherwise we provide full details. We then give a series of applications to illustrate the use of these techniques. We obtain in particular a new version of Mansfield's imprimitivity theorem for full coactions, and prove that it gives a natural isomorphism between crossed-product functors defined on appropriate categories
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