Hardware keyboard on Asus TF700?

Question

Android

Hello!
For the last couple of months I have had a bunch of Asus TF700 and Asus Mobile Dock, in a simple way - a keyboard that turns the tablet into an ARM netbook on Android.
Currently, with a hardware keyboard (Asus Keyboard), it is not possible to type in a language other than English in the address bar of the browser.
Plus, switching layouts is inconveniently implemented (in fact, pressing Ctrl + Shift brings up a keyboard selection dialog, and for different layouts this list contains several Asus Keyboards specific to the language along with other input methods - for example, Google Voice Input).
Have you come across a way to get around these shortcomings?
PS In August, there was a problem with Russian input in Chrome in general (not only in the address bar), I found a person with a similar problem from Israel, unsubscribed in Chrome reviews on the Market - the error was fixed in the next update. Where to write about the hardware keyboard, I do not know.