Symmetric monoidal noncommutative spectra, strongly self-absorbing $C^*$-algebras, and bivariant homology
Symmetric monoidal noncommutative spectra, strongly self-absorbing $C^*$-algebras, and bivariant homology
Continuing our project on noncommutative (stable) homotopy we construct symmetric monoidal \infty -categorical models for separable C^* -algebras \mathtt{SC_\infty^*} and noncommutative spectra \mathtt{NSp} using the framework of Higher Algebra due to Lurie. We study smashing (co)localizations of \mathtt{SC_\infty^*} and \mathtt{NSp} with respect to strongly self-absorbing C^* -algebras. We analyse the …