K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol- ogy," K -theory has opened vast new vistas within the structure theory of C*- algebras, as well as leading to profound and unexpected applications of opera- tor algebras to problems in geometry and topology. As a result, many topolo- gists and operator algebraists have feverishly begun trying to learn...