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 Homotopy of projections in $C^*$-algebras 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 MSC numbers : 46L05 Downloads: Full-text PDF