Abstract :
We will introduce and study several algebraic properties of
the covariance cosets in C-algebras. Indeed, we will characterize the
covariance coset in terms of commutators. Also, we will show that for
an invertible element b, the covariance coset of b?1 coincides with the
covariance coset of b. Moreover, if b is normal, then the covariance
coset of b coincides with the covariance coset of b. In addition, we will
prove that the covariance coset is a cone.
