Noncommutative CW-spectra as enriched presheaves on matrix algebras
Noncommutative CW-spectra as enriched presheaves on matrix algebras
Motivated by the philosophy that C^* -algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of C^* -algebras. We focus on C^* -algebras which are noncommutative CW-complexes in the sense of Eilers et al. (1998). We construct the stable \infty -category of noncommutative CW-spectra, which …