In a large, deep skillet over low heat, melt the butter. Add the garlic and crushed red pepper. Cover and cook without browning, stirring occasionally, for 5 minutes. Raise the heat to medium, add the mushrooms, season with ½ teaspoon salt and cook, covered, stirring once or twice, for 5 minutes. Raise the heat to high, add the radicchio, season generously with black pepper and cook, tossing and stirring often, until the vegetables are lightly browned, 4 to 6 minutes. Remove from the heat and cool.