On O*-Representability and C*-Representability of ∗-algebras.

  title={On O*-Representability and C*-Representability of ∗-algebras.},
  author={Stanislav Popovych},
A characterization of C∗-representability of an arbitrary ∗-algebra in terms of algebraically admissible cones is presented. It is analogues to Choi and Effros characterization of abstract operator systems. As a consequence one has an internal characterization of the C∗-representability of bounded ∗-algebras. Applications to A∗-algebras and group C∗-algebras are presented. Sufficient conditions for the O∗-representability of a ∗algebra in terms of its Göbner basis are given. These conditions… CONTINUE READING

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