Strong shift equivalence theory and the shift equivalence problem

Strong shift equivalence theory and the shift equivalence problem
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强移位等价理论和移位等价问题

DOI:
10.1090/s0273-0979-99-00798-3
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发表时间:
1999
影响因子:
1.3
通讯作者:
J. Wagoner
J. Wagoner
中科院分区:
数学1区
文献类型:
--
作者:
J. Wagoner

文献摘要

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。本文讨论了符号动力学中长期存在的移位等价问题的强移位等价和反例。我们还讨论了强位移等价理论如何与动力学以外的数学领域(例如代数 K 理论、循环同调和拓扑量子场理论)密切相关。
. This paper discusses strong shift equivalence and counterexamples to the long standing Shift Equivalence Problem in symbolic dynamics. We also discuss how strong shift equivalence theory is closely related to areas of mathematics outside dynamics such as algebraic K-theory, cyclic homology, and topological quantum field theory.