Creating a quick sort using recursion and generics

I want to ask about the sort generic class I created. I used a lot of different concepts I learned this year and combined it into a nice class which I can use to sort anything (granted that if its a class the class has a CompareTo method)

public class Sort<T> where T : IComparable<T>
    {
        private List<T> toSort;
        public Sort(List<T> sortList)
        {
            toSort = sortList;
            quickSort();
        }
        public void quickSort()
        {
            qSort(toSort, 0, toSort.Count - 1);
        }
        private void qSort(List<T> toSort, int left, int right)
        {
            //set the indexes
            int leftIndex = left;
            int rightIndex = right;

            //get the pivot
            var pivot = toSort[left + (right - left) / 2];
            while (leftIndex <= rightIndex)
            {
                //check left values
                while (toSort[leftIndex].CompareTo(pivot)<0)
                {
                    leftIndex++;
                }
                //check right values
                while (toSort[rightIndex].CompareTo(pivot) >0)
                {
                    rightIndex--;
                }
                //swap
                if (leftIndex <= rightIndex)
                {
                    var tmp = toSort[leftIndex];
                    toSort[leftIndex] = toSort[rightIndex];
                    toSort[rightIndex] = tmp;

                    //move towards pivot
                    leftIndex++;
                    rightIndex--;
                }
            }
            //continues to sort left and right of pivot
            if (left < rightIndex)
            {
                qSort(toSort, left, rightIndex);
            }
            if (leftIndex < right)
            {
                qSort(toSort, leftIndex, right);
            }
        }


    }

I just have one question, the quickSort I used I got on the internet and then converted it to use generics by myself. I understand how the actual sorting works. I just want to know, why don't I have to return something. I am a bit confused. I see it is actually switching the values of the lists, but I wonder how it accesses the list I sent. Because where I call it I can just do this

List<string> toSort = new List<string> { "C", "B", "A" };
                Sort<string> sort = new Sort<string>(toSort);
                cbxAlphabet.DataSource = toSort;

So I just use the original list and it will have A, B and C in the comboBox.

If anybody can explain this I would really appreciate it!

EDIT:

 public static class Sort<T> where T : IComparable<T>
    {
        public static void quickSort(List<T> sortList)
        {
            qSort(sortList, 0, sortList.Count - 1);
        }
        private static void qSort(List<T> toSort, int left, int right)
        {
            //set the indexes
            int leftIndex = left;
            int rightIndex = right;

            //get the pivot
            var pivot = toSort[left + (right - left) / 2];
            while (leftIndex <= rightIndex)
            {
                //check left values
                while (toSort[leftIndex].CompareTo(pivot)<0)
                {
                    leftIndex++;
                }
                //check right values
                while (toSort[rightIndex].CompareTo(pivot) >0)
                {
                    rightIndex--;
                }
                //swap
                if (leftIndex <= rightIndex)
                {
                    var tmp = toSort[leftIndex];
                    toSort[leftIndex] = toSort[rightIndex];
                    toSort[rightIndex] = tmp;

                    //move towards pivot
                    leftIndex++;
                    rightIndex--;
                }
            }
            //continues to sort left and right of pivot
            if (left < rightIndex)
            {
                qSort(toSort, left, rightIndex);
            }
            if (leftIndex < right)
            {
                qSort(toSort, leftIndex, right);
            }
        }


    }