اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدSplittings and calculational techniques for higher THH
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Tensoring finite pointed simplicial sets with commutative ring spectra yields important homology theories such as (higher) topological Hochschild homology and torus homology. We prove several structural properties of these constructions relating $X otimes (-)$ to $Sigma X otimes (-)$ and we establish splitting results. This allows us, among other important examples, to determine $THH^{[n]}_*(mathbb{Z}/p^m; mathbb{Z}/p)$ for all $n geq 1$ and for all $m geq 2$.
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