does operator know phone's mac?

Is there a standard to what wifi router logs when you connect to it with wifi enabled cell phone?
If the mac of the phone is logged than is it possible for the cell phone operator to find out the corresponding imei of the phone
(although cell phones identify/connect to base stations with imei number)

 

My router assigns an internal IP address to my phone, based on the MAC...just like any other WiFi radio. That MAC shouldn't leave the local network. Wifi shouldn't have anything to do with the IMEI other than a MAC will identify the vendor, and the IMEI will indicate the vendor as well (I think?). Since you can't easily (if at all?) spoof a phone MAC, your real one would show up in Starbuck's router logs, etc... There may be some correlation available by taking all IMEI's connected to a tower, and then getting the router logs of all open access points within tower range and looking up the MAC vendor ID and trying to match them to what model the IMEI is...but I don't know...seems very difficult and I'm not a 'mobile guy'.

PD

Edit: There is also the IMSI, which identifies "you" it looks like.

https://en.wikipedia.org/wiki/International_Mobile_Equipment_Identity