A ${\mathbb{Z}}_2$-Topological Index as a ${\mathbb{Z}}_2$-State Index

N. J. B. Aza, L. C. P. A. M. Müssnich, A. F. Reyes-Lega

Within the setting of infinite dimensional self-dual $\mathrm{CAR}$ $C^{\ast }$-algebras describing fermions in the ${\mathbb{Z}}^d$-lattice, we depart from the well-known Araki-Evans…