周期序列在稳定区间的崩溃
The collapse of the periodicity sequence in the stable range
摘要：
交换代数的霍赫希尔德同调的稳定化是Gamma同调.我们描述了Gamma同调的一个循环变体，并证明了Connes周期序列的相关类似物变得几乎平凡，因为循环版本从同调度2开始与普通版本一致.我们对此提供了另一种解释，证明了B-算子后面的稳定映射从度1开始是平凡的.
英文摘要：
The stabilization of Hochschild homology of commutative algebras is Gamma homology. We describe a cyclic variant of Gamma homology and prove that the associated analogue of Connes' periodicity sequence becomes almost trivial, because the cyclic version coincides with the ordinary version from homological degree two on. We offer an alternative explanation for this by proving that the B-operator followed by the stabilization map is trivial from degree one on.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
