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Spectral radius formulae in quotient ๐ถ*-algebras

Spectral radius formulae in quotient ๐ถ*-algebras

If <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper I"> <mml:semantics> <mml:mi>I</mml:mi> <mml:annotation encoding="application/x-tex">I</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a closed two-sided ideal in <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^ * }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper โ€ฆ