public void ClearSelection()

var tv = TableView.Active;
if (tv == null)
  return;

// toggle the active rows selection
if (tv.CanToggleRowSelection)
  tv.ToggleRowSelection();

// switch the selection
if (tv.CanSwitchSelection)
  tv.SwitchSelection();

// clear the selection
if (tv.CanClearSelection)
  tv.ClearSelection();