Simple Cuntz-Pimsner rings

Details Simple Cuntz-Pimsner rings Simple Cuntz-Pimsner rings

2011-10-31

arxiv.org/abs/1110.6923v1

Mathematics

Rings and Algebras

Scientific paper

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.

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