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Stable ranks of multiplier algebras of C^*-algebras

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Abstract

We estimate the stable rank, connected stable rank and general stable rank of the multiplier algebras of $C^*$-algebras under some conditions and prove that the ranks of them are infinite. Moreover, we show that for any $\sigma$-unital subhomogeneous $C^*$-algebra, its stable rank is equal to that of its multiplier algebra.

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