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

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

2006-02-10

arxiv.org/abs/math/0602222v2

Mathematics

Operator Algebras

38 pages, LaTeX, uses Xy-pic; significant reorganization of previous version; short section on regularity of induced represent

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Induction in stages for crossed products of C*-algebras by maximal coactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Induction in stages for crossed products of C*-algebras by maximal coactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Induction in stages for crossed products of C*-algebras by maximal coactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-600183