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THE ABSTRACT INDUCING PROCESS AND ABSTRACT IMPRIMITIVITY Si Operator inner products
S2 Duality for operator inner products
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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