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Duality theory for locally compact groups with precompact conjugacy classes. II. The dual space

Duality theory for locally compact groups with precompact conjugacy classes. II. The dual space

The present paper is concerned with the dual space Ĝ consisting of all unitary equivalence classes of continuous irreducible unitary representations of separable <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-bracket upper F upper C right-bracket Superscript minus"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo stretchy="false">[</mml:mo> <mml:mi>F</mml:mi> <mml:mi>C</mml:mi> <mml:msup> <mml:mo stretchy="false">]</mml:mo> <mml:mo>−<!-- − --></mml:mo> </mml:msup> </mml:mrow> …