Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra
Abstract In a companion paper (Arone et al. in Noncommutative CW-spectra as enriched presheaves on matrix algebras, arXiv:2101.09775 , 2021) we introduced the stable $$\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>∞</mml:mi> </mml:math> -category of noncommutative CW-spectra, which we denoted $$\mathtt {NSp}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>NSp</mml:mi> </mml:math> . Let $${\mathcal {M}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>M</mml:mi> …