The graded structure of algebraic Cuntz-Pimsner rings

التفاصيل البيبلوغرافية
العنوان: The graded structure of algebraic Cuntz-Pimsner rings
المؤلفون: Lännström, Daniel
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Rings and Algebras, Mathematics - Operator Algebras, 16D70, 16W50
الوصف: The algebraic Cuntz-Pimsner rings are naturally $\mathbb{Z}$-graded rings that generalize both Leavitt path algebras and unperforated $\mathbb{Z}$-graded Steinberg algebras. We classify strongly, epsilon-strongly and nearly epsilon-strongly graded algebraic Cuntz-Pimsner rings up to graded isomorphism. As an application, we characterize noetherian and artinian fractional skew monoid rings by a single corner automorphism.
Comment: 27 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1903.11855
رقم الأكسشن: edsarx.1903.11855
قاعدة البيانات: arXiv