14,228 research outputs found
Race and Socioeconomic Factors Affect Opportunities for Better Health
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
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
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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