تقرير
Symbolic dynamics and the stable algebra of matrices
| العنوان: | Symbolic dynamics and the stable algebra of matrices |
|---|---|
| المؤلفون: | Boyle, Mike, Schmieding, Scott |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematics - K-Theory and Homology, 37B10, 19-01, 15B48, 15-B36, 06-01 |
| الوصف: | We give an introduction to the "stable algebra of matrices" as related to certain problems in symbolic dynamics. We consider this stable algebra (especially, shift equivalence and strong shift equivalence) for matrices over general rings as well as various specific rings. This algebra is of independent interest and can be followed with little attention to the symbolic dynamics. We include strong connectionsto algebraic K-theory and the inverse spectral problem for nonnegative matrices. We also review key features of the automorphism group of a shift of finite type, and the work of Kim, Roush and Wagoner giving counterexamples to Williams' Shift Equivalence Conjecture. Comment: v3, 126 pages. Main additions: citations; Section 2.10; extended overview of shift equivalence and strong shift equivalence in the introduction; clarification and consistency regarding left vs. right actions |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2006.01051 |
| رقم الأكسشن: | edsarx.2006.01051 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |