Broadcom Corporation BCM4313 802.11b/g/n Wireless LAN Controller (rev 01)
Subsystem: Askey Computer Corp. Device 7175
is your wireless device. There really wasn't any need to post the rest of it.
The output also appears to be cut short as it doesn't go as far as listing the kernel driver in use as it does for the other devices.
Briefly, if when you run the command again, it shows the "brcmsmac" drive in use and you still don't get wireless networks in NetworkManager then there are two things to try.
Firstly, use NetworkManager to disable and then enable wireless and see if that makes a difference. There is a problem in F17 at the moment that that cures. I was not aware that it was so in F16 but it's worth trying.
If that doesn't fix it probably best to try the broadcom-wl driver as that also reckons to support your card.
To do that, install the rpmfusion repositories as described here:
and then use the command:
yum install kmod-wl
and see if the replacement driver works any differently.
If that's not the case then we'll have to investigate deeper and see if anything in the installation is blocking the wireless.
I see that you are using Windows to post questions.
If that means that you can't get internet access to the Fedora installation, post back. There is a way to download the relevant rpm files, transfer them to the Fedora machine and then install them locally.
As I read your output, the "r8169" module that RHamel mentions is for your wired ethernet device. I wasn't aware that it interfered with wireless devices but it might be worth a try.