Stable ranks for the real function algebra $C(X,\tau)$ Raymond MortiniRudolf Rupp Primary 46J10Secondary 54C2019B10real function algebrasBass stable ranktopological stable rankextension of maps We determine the Bass and topological stable ranks of the real algebra $C(X,\tau)$ of all complex-valued continuous functions on the compact Hausdorff space $X$ that satisfy $f\circ\tau = \bar{f}$, where $\tau$ is a topological involution on $X$. Indiana University Mathematics Journal 2011 text pdf 10.1512/iumj.2011.60.4615 10.1512/iumj.2011.60.4615 en Indiana Univ. Math. J. 60 (2011) 269 - 284 state-of-the-art mathematics http://iumj.org/access/