Pedazo de código para mostrar todos los términos de una taxonomía para el item activo
<?php // Get terms for post
$terms = get_the_terms( $post->ID , 'empresa' );
// Loop over each item since it's an array
if ( $terms != null ){
foreach( $terms as $term ) {
// Print the name method from $term which is an OBJECT
print $term->name ;
// Get rid of the other data stored in the object, since it's not needed
unset($term);
} } ?>
<!-- Para mostrar el slug debemos cambiar tan sólo print $term->name por print $term->slug -->