Folks, this is a reply I got from the manufacturer of the top:
Hello George,
Thanks for contacting The Haartz Corporation.
The top on your 2005 Crossfire is a fabric top.
We recommend the following products for cleaning and protecting your top material. Please visit the following website www.wolfsteins.com and click on "Products" then "RaggTopp" and then choose the fabric link.
Alternatively,
The company “303 Products”, provides products for cleaning and protecting your top as well. Their website is www.303products.com. If you click on the link under “Product Categories” then “Kits” it will take you to the 303 ® Fabric Convertible Top Kit.
Their reply clears up a lot for me. Now, I can order tomorrow what I need to clean & protect the top.