Complex symmetric generators of C⁎-algebras.

This paper gives necessary and sufficient conditions for an essentially normal operator T to have its C ⁎ -algebra C ⁎ ( T ) generated by a complex symmetric operator. Also it is completely determined when C ⁎ ( T ) is ⁎-isomorphic to a C ⁎ -algebra singly generated by complex symmetric operators. These both depend only on the singular part of T . [ABSTRACT FROM AUTHOR]