FINITE-DIMENSIONAL REPRESENTATIONS OF FREE PRODUCT C*-ALGEBRAS

@article{Exel1992FINITEDIMENSIONALRO,
  title={FINITE-DIMENSIONAL REPRESENTATIONS OF FREE PRODUCT C*-ALGEBRAS},
  author={Ruy Exel and Terry A. Loring},
  journal={International Journal of Mathematics},
  year={1992},
  volume={03},
  pages={469-476}
}
  • R. ExelT. Loring
  • Published 1 August 1992
  • Mathematics
  • International Journal of Mathematics
Our main theorem is a characterization of C*-algebras that have a separating family of finite-dimensional representations. This characterization makes possible a solution to a problem posed by Goodearl and Menaul. Specifically, we prove that the free product of such C*-algebras again has this property. 
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