background check application

If a rental application does not show not the applicant will be a ground check is returned safe to assume she will not do a background check? I think that for reasons law that would give a revelation? I am courious because I am looking for a place that Staes only there will be no verification Credit and says nothing about a background check

Yes, because they must have their permission to ACSESS your personal information and same time you should not give your consent, we may reject your application based in its refusal