3 papers
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…
math.GR2020
Inverse limits of left adjoint functors on pointed sets
Ilan Barnea, Saharon Shelah
This paper is a continuation of [BaSh], where we studied the behaviour of the abelianization functor under inverse limits. Our main result in [BaSh] was that if is a…