# STABLE RANKS OF MULTIPLIER ALGEBRAS OF C*-ALGEBRAS

• Sudo, Takahiro (Department of Mathematical Sciences Faculty of Science University of the Ryukyus)
• Published : 2002.07.01
• 75 2

#### 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.

#### Keywords

stable rank;multiplier;group $C^{}$ ＊/-algebras;subhomogeneous $C^{}$ */-algebras

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#### Cited by

1. THE CONNECTED STABLE RANK FOR BANACH*-ALGEBRAS INVOLVING ISOMETRIES vol.03, pp.01, 2010, https://doi.org/10.1142/S179355711000012X