Can the death penalty be pursued even if a state has abolished it entirely?

If someone commits a crime federally considered punishable by death in a state that has abolished capital punishment, can the suspect be transported t

If someone commits a crime federally considered punishable by death in a state that has abolished capital punishment, can the suspect be transported to a state that still practices it (a state different from where the crime was committed) in order to be prosecuted?

or:If someone commits a crime federally considered punishable by death in a state that has abolished capital punishment, can the suspect be transported to a state that still practices it (a state different from where the crime was committed) in order to be prosecuted?

or:No. If the state still has the death penalty but no longer practises it then the offender will not be sent to another state for execution.

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