Suppose $A$ is a $C^*$ algebra,$M(A)$ is the multiplier algebra.If $S$ is a subset of $M(A)$ which is compact for the strict topology on $M(A)$,is $S$ also a subset of $M(M(A))$ which is compact for the strict topology on $M(M(A))$?
2026-03-26 18:57:13.1774551433
strict topology on multiplier algebras
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Note that $M(A)$ is unital, so $M(M(A))=M(A)$.