Can I watch TV remotely even when my A/V Receiver is turned off? I don't want to leave my A/V Receiver powered on, and/or I do not want to hear the sound out of my surround sound system.

Yes. Most of the newest A/V Receivers should provide a feature called "HDMI Pass-Through" or "Standby Pass-through" that allows a video source to pass the video and audio signals over the HDMI cable, even when the receiver is in standby (OFF) mode. Refer to your A/V Receiver user manual, and/or the video source (i.e. Blu-Ray player) user manual, and also check the cable for compatibility with the "HDMI Pass-Through" or "Standby Pass-through" feature. If your A/V Receiver does not support this feature, you must leave the A/V Receiver ON and turn down or mute the volume.