Ready-ecommerce theme and plugins do support wp-super cache ?

Question before i installed wp-supercache to improve speed of my e-shop ?
Do ready ecommerce thema and plugins supprot them ?
Any problem with stock or cart ?

my web site in beta version, http://boutique.bijoux-khahina.com
Thank

http://ww.wp.xz.cn/plugins/ready-ecommerce/