Commun. Korean Math. Soc. 1997 Vol. 12, No. 1, 75-78
Sang Og Kim Hallym University
Abstract : We show that if a simple $C^*$-algebra $A$ satisfies certain $K_1$-group conditions, then two unitarily equivalent projections are homotopic. Also we show that the equivalence of projections determined by a dimension function is a homotopy.
Keywords : homotopic projections, $K_1$-group, dimension function