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    Regular representations of completely bounded maps
    (01-01-2017)
    Rajarama Bhat, B. V.
    ;
    Mallick, Nirupama
    ;
    We study properties and the structure of some special classes of homomorphisms on C*-algebras. These maps are *-preserving up to conjugation by a symmetry. Making use of these homomorphisms, we prove a new structure theorem for completely bounded maps from a unital C*-algebra into the algebra of all bounded linear maps on a Hilbert space. Finally we provide alternative proofs for some of the known results about completely bounded maps and improve on them.