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THE ABSTRACT INDUCING PROCESS AND ABSTRACT IMPRIMITIVITY Si Operator inner products
S2 Duality for operator inner products
31 other sections not shown
abstract inducing process approximate unit assume B,tt Banach algebraic bundle Banach bundle Banach space Blattner bundle over G C*-algebraic C*-algebraic bundle closed subgroup commuting algebras compact subset conjugate-linear construction continuous cross-sections Corollary correspondence coset cross-sectional algebra deduced defined definition denote dense direct sum e-continuous element equation fiber finite groups fixed group algebra group bundle group G hence Hilbert bundle Hilbert direct sum Hilbert space homomorphism implies imprimitivity bimodule induced representations inductive limit topology integrated form involution isometry isomorphism left A-module Lemma linear map linear span locally compact group Mackey neighborhood non-degenerate representation norm operator inner product positive with respect product bundles Proof Proposition prove regional topology Remark representation of G Rieffel rigging saturated semidirect product sentation subalgebra subgroup of G Suppose system of imprimitivity tensor product tt(b unitarily unitary equivalence unitary multipliers unitary representation vectors verifies