||Continuity of the spectra for families of magnetic operators on Zd
Parra, D.Richard, Serge
Analysis and Mathematical Physics
343 , 2016-12 , Springer
For families of magnetic self-adjoint operators on Zd whose symbols and magnetic fields depend continuously on a parameter ϵ, it is shown that the spectrum of these operators also varies continuously with respect to ϵ. The proof is based on an algebraic setting involving twisted crossed product C∗-algebras.