The structure of certain unitary representations of infinite symmetric groups
The structure of certain unitary representations of infinite symmetric groups
Let <italic>S</italic> be an infinite set, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="beta"> <mml:semantics> <mml:mi>β<!-- β --></mml:mi> <mml:annotation encoding="application/x-tex">\beta</mml:annotation> </mml:semantics> </mml:math> </inline-formula> an infinite cardinal number, and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G Subscript beta Baseline left-parenthesis upper S right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>G</mml:mi> <mml:mi>β<!-- β --></mml:mi> </mml:msub> </mml:mrow> <mml:mo …