Identities of group algebras
Identities of group algebras
In this note the converse to the following well-known proposition about locally compact topological groups <italic>G</italic> is proved: if <italic>G</italic> is discrete, then the 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:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{C^ \ast }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebra <inline-formula content-type="math/mathml"> …