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Exactness of reduced amalgamated free product C*-algebras

Operator Algebras 2007-05-23 v1

Abstract

Some completely positive maps on reduced amalgamated free products of C*-algebras are constructed; these allow a proof that the class of exact unital C*-algebras is closed under taking reduced amalgamated free products. Consequently, the class of exact discrete groups is closed under taking amalgamated free products.

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Cite

@article{arxiv.math/9911001,
  title  = {Exactness of reduced amalgamated free product C*-algebras},
  author = {Ken Dykema},
  journal= {arXiv preprint arXiv:math/9911001},
  year   = {2007}
}

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21 pages