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Integral decomposition of functionals on ๐ถ*-algebras

Integral decomposition of functionals on ๐ถ*-algebras

The spectrum of the center of the weak closure of a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript asterisk"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>โˆ—<!-- โˆ— --></mml:mo> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{C^ \ast }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebra with identity on a Hilbert space is mapped into a set of quasi-equivalence classes โ€ฆ