Großmann, Julian PeterJulian PeterGroßmannSchulz-Baldes, HermannHermannSchulz-BaldesVillegas-Blas, CarlosCarlosVillegas-Blas2020-05-042020-05-042019-08-01International Mathematics Research Notices 15 (2019): 4579-4602 (2019-08-01)http://hdl.handle.net/11420/6016Sturm-Liouville oscillation theory is studied for Jacobi operators with block entries given by covariant operators on an infinite dimensional Hilbert space. It is shown that the integrated density of states of the Jacobi operator is approximated by the winding of the Prüfer phase w.r.t. the trace per unit volume. This rotation number can be interpreted as a spectral flow in a von Neumann algebra with finite trace.en1687-024720191545794602Journal Article10.1093/imrn/rnx246Other