Simple Cuntz-Pimsner rings
Rings and Algebras
2014-10-13 v1 Operator Algebras
Abstract
Necessary and sufficient conditions for when every non-zero ideal in a relative Cuntz-Pimsner ring contains a non-zero graded ideal, when a relative Cuntz-Pimsner ring is simple, and when every ideal in a relative Cuntz-Pimsner ring is graded, are given. A "Cuntz-Krieger uniqueness theorem" for relative Cuntz-Pimsner rings is also given and condition (L) and condition (K) for relative Cuntz-Pimsner rings are introduced.
Keywords
Cite
@article{arxiv.1110.6923,
title = {Simple Cuntz-Pimsner rings},
author = {Toke Meier Carlsen and Eduard Ortega and Enrique Pardo},
journal= {arXiv preprint arXiv:1110.6923},
year = {2014}
}