标题： 高阶Hochschild同调不是稳定的不变量 显示英文标题

标题： Higher Hochschild homology is not a stable invariant

摘要： 高阶Hochschild同调是空间同调的类比，在这里系数的上下文——通常为交换群——变为交换代数。 两个在悬垂后等价的空间具有相同的同调。 我们证明了对于高阶Hochschild同调，情况并非如此，为稳定同伦理论中迄今观察到的行为提供了一个反例。 显示英文摘要

摘要： Higher Hochschild homology is the analog of the homology of spaces, where the context for the coefficients -- which usually is that of abelian groups -- is that of commutative algebras. Two spaces that are equivalent after a suspension have the same homology. We show that this is not the case for higher Hochschild homology, providing a counterexample to a behavior so far observed in stable homotopy theory.