Yes, a splitter is a good idea, as you'll be able to send one HDMI signal to both the TV and the receiver.
But you might encounter a lip-sync problem. The audio might be processed by the receiver faster than the video can be processed by the TV, and if so you would need to compensate with a delay. Your receiver might have an audio delay feature. If the audio lags behind the video, so that the video needs to be delayed... video delays are very expensive.