Journal Article Continuity of the spectra for families of magnetic operators on Zd

Parra, D.  ,  Richard, Serge

6 ( 4 )  , pp.327 - 343 , 2016-12 , Springer
ISSN:1664-2368
Description
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.
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