STABLE RANKS OF MULTIPLIER ALGEBRAS OF C*-ALGEBRAS
STABLE RANKS OF MULTIPLIER ALGEBRAS OF C*-ALGEBRAS
We estimate the stable rank, connected stable rank and general stable rank of the multiplier algebras of <TEX>$C^{＊}$</TEX>-algebras under some conditions and prove that the ranks of them are infinite. Moreover, we show that for any <TEX>$\sigma$</TEX>-unital subhomogeneous <TEX>$C^{＊}$</TEX>-algebra, its stable rank is equal to that of its multiplier algebra.