Some homological properties of the enveloping dual Banach algebra

Enveloping Dual Banach Algebras and Approximate Properties

“…Te notation A-will often be omitted to simplify. We consider the left introverted subspaces X and Y of A � F(A) is the enveloping dual Banach algebra associated to A by[15], Remark 3.4. If A 1 and A 2 are (operators) approximately bifat quantized Banach algebras and A � A 1 ⊕ A 2 has an operator space structure such that the projection maps A ⟶ A i are completely bounded, then A is also an operator approximately bifat.…”