# Cuntz-Krieger-Pimsner algebras associated with amalgamated free product groups

@article{Okayasu2000CuntzKriegerPimsnerAA,
title={Cuntz-Krieger-Pimsner algebras associated with amalgamated free product groups},
author={Rui Okayasu},
journal={Publications of The Research Institute for Mathematical Sciences},
year={2000},
volume={38},
pages={147-190}
}
• Rui Okayasu
• Published 10 October 2000
• Mathematics
• Publications of The Research Institute for Mathematical Sciences
We give a construction of a nuclear C*-algebra associated with an amalgamated free product of groups, generalizing Spielberg's construction of a certain Cuntz-Krieger algebra associated with a finitely generated free product of cyclic groups. Our nuclear C*-algebras can be identified with certain Cuntz-Krieger-Pimsner algebras. We will also show that our algebras can be obtained by the crossed product construction of the canonical actions on the hyperbolic boundaries, which proves a special…
7 Citations
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