关于非交换CW-谱的一个注记
A note on noncommutative CW-spectra
AI总结:
本文利用arXiv:2009.07539的机制,基于稳定模型范畴的著名结果,为非交换CW-谱范畴可建模为特定范畴M上的谱预层范畴这一结论提供了替代证明。
摘要:
我们使用arXiv:2009.07539的机制,给出了arXiv:2101.09775主要结果的另一种证明。该结果表明,非交换CW-谱的范畴可以建模为特定范畴M上的谱预层范畴,M的对象可视为“矩阵代数的谱”。我们证明的优势在于它主要依赖于(稳定)模型范畴的著名结果。
英文摘要:
We use the machinery of arXiv:2009.07539 to give an alternative proof of one of the main results of arXiv:2101.09775. This result states that the category of noncommutative CW-spectra can be modelled as the category of spectral presheaves on a certain category M, whose objects can be thought of as "suspension spectra of matrix algebras". The advantage of our proof is that it mainly relies on well-known results on (stable) model categories.
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