In a slow cooker, combine beans, broth, tomatoes, sausage, onion, celery, carrots, cumin, bay leaves, and 1/2 teaspoon each salt and black pepper. Mix well. Cover and cook on LOW for 6 to 8 hours or on HIGH for 3 to 4 hours.
Season, to taste, with salt and black pepper. Ladle into bowls and garnish with crab and cilantro.