I assume you've tried a Fusion keyboard mapping where command-c and command-v (the defaults on the Mac) are mapped to ctrl-c and ctrl-v in the guest (such as what you see in the default Fusion keyboard mappings), and set your Logi software to generate command-C and command-V? I wouldn't think you'd need to set a special mapping in the Logi app.
Also note that some applications in a Linux guest do not honor ctrl-c and ctrl-v for copy and paste. GNOME Terminal is notable for this (see https://superuser.com/questions/421463/why-does-ctrl-v-not-paste-in-bash-linux-shell )