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Kirchberg, E. (1996) The Derivation Problem and the Similarity Problem Are Equivalent. Journal of Operator Theory, 36, 59-62.

has been cited by the following article:

• TITLE: On Kadison’s Similarity Problem for Homomorphisms of the Algebra of Complex Polynomials

  AUTHORS: Joachim Moussounda Mouanda

  KEYWORDS: Inequalities for Sums, Fourier Coefficients, Operator Theory, Polynomials

  JOURNAL NAME: Advances in Pure Mathematics, Vol.11 No.9, September 22, 2021

  ABSTRACT: We prove that every homomorphism of the algebra Pn into the algebra of operators on a Hilbert space is completely bounded. We show that the contractive homomorphism introduced by Parrott, which is not completely contractive, is completely bounded (similar to a completely contractive homomorphism). We also show that homomorphisms of the algebra Pn generate completely positive maps over the algebras C(Tn)and M2(C(Tn)).