Embeddings of reduced free products of operator algebras Academic Article uri icon

abstract

  • Given reduced amalgamated free products of C*-algebras (A, ø) = *ι∈I(Aι, øι) and (D, ψ) = *ι∈I(Dι,ψ ι), an embedding A (rightwards arrow with hook) D is shown to exist assuming there are conditional-expectation-preserving embeddings Aι (rightwards arrow with hook) Dι. This result is extended to show the existence of the reduced amalgamated free product of certain classes of unital completely positive maps. Finally, analogues of the above mentioned results are proved for amagamated free products of von Neumann algebras.

author list (cited authors)

  • Blanchard, E. F., & Dykema, K. J.

citation count

  • 23

complete list of authors

  • Blanchard, Etienne F||Dykema, Kenneth J

publication date

  • May 2001