Syed Mohammad Imran was arrested two days ago from Bangalore and brought here on transit remand, said a senior police officer.
Latika, Dikshit's daughter, had also accused her estranged husband of subjecting her to violence, they said.
Latika and Imran got married in 1996 and living separately for the last 10 months.
In her complaint filed in June, Latika had alleged that Imran's attitude had changed towards her and became aggressive and rude to her after her mother lost in Delhi Assembly elections.
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According to police, she also alleged that some of the belongings, kept at her Hailey Road House, had gone missing and whenever she asked, Imran was evasive.
She also alleged that he took away jewellery and other expensive items from the house.
Latika also accused one of her female relative of being "in connivance" with Imran, they said.
Imran has been booked under the relevant sections of law and IT Act, police said.