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On group ๐ถ*-algebras of bounded representation dimension

On group ๐ถ*-algebras of bounded representation dimension

We consider the structure of group <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:msup> <mml:mi>C</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>โˆ—<!-- โˆ— --></mml:mo> </mml:mrow> </mml:msup> <mml:annotation encoding="application/x-tex">C^{\ast }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras whose irreducible representations have bounded dimension. We give some general results, including a description of the topology on the spectrum, โ€ฆ