Add a class on an li for "current category"

Hi-
Currently I’m using this code to display a string of breadcrumbs ( Link / Link / Link) across the top of my archive pages.

<?php
	$cat_arguments = array(
	  'orderby' => 'name',
	  'parent' => 0
	  );
	$cats = get_categories($cat_arguments);
	$i = 0;
	foreach($cats as $category) {
		echo '<li><a href="'.get_category_link( $category->term_id ).'">'.$category->name.'</a>';
		$i++;
		if ($i < count($cats)) {
			echo '<span class="divider">/</span></li>';
		}
	}
	?>

However, I want to add a class to the li that contains the name of the currently displaying category. What’s the best way to do this?