I would like to use airdroid on my mac without login and on local wifi.
Using Lite ModeIf your Android device and computer are on the same WiFi network, you'll be able to use Lite mode. Lite mode allows you to connect your Android devices directly, without passing through the AirDroid web servers. Some AirDroid web features are missing in Lite Mode.
① Find the IP address displayed on AirDroid Android app (the IP address varies from device to device):

② Open a supported web browser (Chrome, Safari, Firefox, IE) on computer, enter the IP address:

③ Your Android device will instantly get a connection request, tap Accept and you should be able to sign in:
Quick Guide of AirDroid.