EMBEDDING -ALGEBRAS INTO C -ALGEBRAS AND C -IDEALS GENERATED BY WORDS

A definition is given for C -ideals related to embedding -alge- bras in C -algebras. The shrinking algorithm on words is defined and related to the question of which words algebraically generate C -ideals. It is proved that all words in the free unital -algebra with one generator generate C - ideals. Finally, the C -ideals generated by some specific words are described.