Adding checkbox to object in asp.net with razor

I have some trouble understanding checkboxes in asp.net MVC. I am trying to display a list of objects and adding a checkbox to each object. I just don't know which kind of checkbox to use.

I created checkboxes with usual html or razors @html.checkbox/checkboxfor but I don't know how to connect them to the object.

I want to choose some of the listed objects and in a second step display only those.

Can someone explain to me which checkbox I should use and how to connect them to the object?

The objects have an id with which we could connect the Checkbox.

I googled a lot but couldn't find a proper Explanation for the use checkboxes in asp.net mvc.

View

@model List<Person> 
@{
    ViewBag.Title = "ShowView";
}

@foreach (var element in Model)
{
    /*Checkbox*/ <p>@Html.DisplayFor(m => element.Name)</p>
}

Model

    public class Person
    {
        public string Name { get; set; }
        public string Path { get; set; }
        public long Size { get; set; }
        public DateTime LastChange { get; set; }
        public int Id { get; set; }

        public Project(string name, string path, long size, DateTime lastChange, int id)
        {
            this.Name = name;
            this.Path = path;
            this.Size = size;
            this.LastChange = lastChange;
            this.Id = id;
        }
    }