Author/Authors :
Mahmoodi ، Ali Department of Mathematics - Faculty of Science - Islamic Azad University, Tehran Science and Research Branch , Mardanbeigi ، Mohammad R. Department of Mathematics - Faculty of Science - Islamic Azad University, Tehran Science and Research Branch
Abstract :
Argerami and Farenick have found conditions for the injective envelope of a separable C∗-algebra to be a von Neumann algebra. In this paper, we introduce an equivalent version of this result by finding conditions for the G-injective envelope of a separable G-C∗-algebra A to be a von Neumann algebra, when G is a discrete group acting on A.
Keywords :
G , W∗ , algebra , G , AW∗ , algebra , G , Injective envelope , G , Regular monotone completion , Type I C∗ , algebra , G , invariant Essential ideal , G , Local multiplier algebra , Discrete group
