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- W4283723118 abstract "We study the extent of countable saturation for coronas of abelian <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=normal upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=normal>C</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:mrow> </mml:msup> <mml:annotation encoding=application/x-tex>mathrm {C}^{*}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras. In particular, we show that the corona algebra of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C 0 left-parenthesis double-struck upper R Superscript n Baseline right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>C</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>C_0(mathbb {R}^n)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is countably saturated if and only if <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n equals 1> <mml:semantics> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>n=1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
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- W4283723118 date "2022-12-21" @default.
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- W4283723118 title "Obstructions to countable saturation in corona algebras" @default.
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