Study on Several Problems About Strongly Self-Absorbing C~*-Algebras

In this paper,it is proved that a separable unital strongly self-absorbing C*-algebra is approximately inner flip directly,and btained that a new equivalent definition of strongly self-absorbing according to interrelated definitions and theorems.Suppose A is a separable C*-algebra and D is a separable unital strongly self-absorbing Ki-injective C*-algebra.it is proved that two threoms showing A is isomorphic to AD are equivalent.