Autofac Dependency Injection - Set public property

Question

I am building the asp.net WebAPI project and have used Autofac as IOC. Now i am doing constructor based injection and calls the various methods of the business class from the controller class.

Now i want to pass some additional data into the business class via the public property IncomingUser such as this one :-

My interface looks like this :-

 public interface IUserManager
    {
        string IncomingUser { set; get; }
        Task<List<String>> GetUserPofiles(string Name);
    }

This readonly property IncomingUser will be used inside various methods defined under the class UserManager.

public class UserManager : IUserManager
    {      
        public string IncomingUser { get => throw new NotImplementedException(); set => throw new NotImplementedException(); }

  public async Task<List<String>> GetUserPofiles(string Name)
        {
         ......Business Logic for the method......
        }
    }

From the API controller, i am setting the DI like this :-

 public class myAPIController : ApiController
    {

        IUserManager _Manager;

        public myAPIController(IUserManager Mang)
        {
            _Manager = Mang;
        }
    }

Please suggest, how should i set the property IncomingUser from the API controller class with the help of autofac DI or another way.