Embeddings of reduced free products of operator algebras

Etienne Blanchard; Ken Dykema

Embeddings of reduced free products of operator algebras

Operator Algebras 2007-05-23 v2

Authors: Etienne Blanchard , Ken Dykema

Abstract

Given reduced amalgamated free products of C $^*$ -algebras, $(A,phi)=*_i(A_i,phi_i)$ and $(D,psi)=*_i(D_i,psi_i)$ , an embedding $A\to D$ is shown to exist assuming there are conditional expectation preserving embeddings $A_i\to D_i$ . This result is extended to show the existance of the reduced amalgamated free product of certain classes of unital completely positive maps. Analogues of the above mentioned results are proved for von Neumann algebras.

Keywords

reduced amalgamated free products c*-algebras von Neumann algebras embeddings conditional expectations completely positive maps

Cite

@article{arxiv.math/9911012,
  title  = {Embeddings of reduced free products of operator algebras},
  author = {Etienne Blanchard and Ken Dykema},
  journal= {arXiv preprint arXiv:math/9911012},
  year   = {2007}
}

Comments

Revised version to appear in Pacific J. Math. 15 pages

Embeddings of reduced free products of operator algebras

Abstract

Keywords

Cite

Comments

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