Non Approximately Inner Tensor Product of C*—Algebras Year: 2010 Volume: 4 Issue: 8 1215 - 1217 Pages Authors: Rasoul Abazari Abstract: In this paper, we show that C*-tensor product of an arbitrary C*-algebra A, (not unital necessary) and C*-algebra B without ground state, have no approximately inner strongly continuous one-parameter group of *-automorphisms. Keywords: One–parameter group C*– tensor product Approximately inner Ground state.