Author/Authors :
Yousefi ، A. Department of Mathematics - Faculty of Science - Islamic Azad University (IAU), Science and Research Branch , Mardanbeigi ، M. R. Department of Mathematics - Faculty of Science - Islamic Azad University (IAU), Science and Research Branch
Abstract :
Let G be a discrete group acting on C∗-algebra ℑ. In this paper, we investigate projectivity and injectivity of G-Hilbert ℑ-modules and study the equivalent conditions characterizing G-C-subalgebras of the algebra of compact operators on G-Hilbert spaces in terms of general properties of G-Hilbert ℑ-modules. In particular, we show that G-Hilbert ℑ-(bi)modules on G-C^∗ -algebra of compact operators are both projective and injective.
Keywords :
G , projective , G , projective cover , extremally G , disconnected , G , C ∗ , algebra , G , Hilbert ℑ , module , G , injective Hilbert ℑ , module , G , projective Hilbert ℑ , module , G , self dual , G , monotone complete , G , ∗ , representation.
