Projective Tensor Products of C*-Algebras*

For *C-algebras A and B, the constant involved in the canonical embedding of * * **A Bγ ⊗ into ()**A Bγ ⊗ is shown to be 1 2. We also consider the corresponding operator space version of this embedding. Ideal structure of ˆA B ⊗ is obtained in case A or B has only finitely many closed ideals