tex2html_wrap_inline10 -ALGEBRAS GENERATED BY COMMUTING ISOMETRIES

GERARD J. MURPHY

Abstract:

tex2html_wrap_inline10 -algebras generated by commuting isometries are analyzed. It is shown that if a tex2html_wrap_inline10 -algebra is generated by a semigroup of commuting isometries whose range projections commute, then the tex2html_wrap_inline10 -algebra is nuclear. Not all tex2html_wrap_inline10 -algebras generated by commuting isometries are nuclear/the universal tex2html_wrap_inline10 -algebra generated by a commuting pair of isometries is shown to be nonnuclear.