Abstract
This note gives a characterization of matrix structures for multipliers of a stable $C^*$-algebra $A\otimes \mathcal{K} $ with any $C^*$-algebra $A$. We represent elements in $(A\otimes \mathcal{K} )''$, $QM(A\otimes \mathcal{K} )$ and $M(A\otimes \mathcal{K} )$ as infinite matrices over certain $C^*$-algebras, respectively. These results generalize the related work of Brown, Lin and Zhang in this area.
Citation
Changguo Wei. Shudong Liu. "On the structure of multiplier algebras." Rocky Mountain J. Math. 47 (3) 997 - 1012, 2017. https://doi.org/10.1216/RMJ-2017-47-3-997
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