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math.AT2021
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra
Gregory Arone, Ilan Barnea, Tomer M. Schlank
In a companion paper [ABS1] we introduced the stable -category of noncommutative CW-spectra, which we denoted . Let denote the full spectrally e…
math.AT2021
Noncommutative CW-spectra as enriched presheaves on matrix algebras
Gregory Arone, Ilan Barnea, Tomer M. Schlank
Motivated by the philosophy that -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of -algebras. We focus on…