It depends which country you live in, but generally, the police would expect the 'someone' to tell them why he suspected you and what evidence he had. The police might then interview you so they could hear your side of the story. If they felt they had good cause to believe that you had, indeed, stolen any items they could get a warrant to search all premises occupied by you or anyone else who might be involved.
If the items were found on your property, you would then be arrested.
If they were located somewhere not connected to you, and there was no reason to think you had any involvement, that would be the end of the matter.