Index pairings in presence of symmetries with applications to topological insulators (Q282579)

The authors consider the index pairings of the complex classes which are known for arbitrary even dimensions [\textit{E. Prodan} et al., J. Phys. A, Math. Theor. 46, No. 48, Article ID 485202, 20 p. (2013; Zbl 1290.82016)] and arbitrary odd dimensions [\textit{E. Prodan} and \textit{H. Schulz-Baldes}, J. Funct. Anal. 271, No. 5, 1150--1176 (2016; Zbl 1344.82055)], and to implement the symmetries of the Fermi projection in order to deduce \(Z\)-, \(Z_2\)- and \(2Z\)-valued index pairings. These general results are applied to prove index theorems for the strong invariants of disordered topological insulators.