I know that for ADS-B in the US to receive TIS-B information you need to be a participating aircraft (ie ADSB-Out). My question is more specifically, if you are flying an aircraft with a 1090ES transponder and have a stratux or similar ADSB-In device for your phone or tablet, will the system create the traffic puck around your aircraft and send TIS-B information for you?
The answer is "yes" if
a) you configure your 1090 out system to request ADS-B uplink at 978 MHZ (this feature was added to the message structure in DO-260B) b) your 1090 ADS-B out message is confirming certain minimum "quality" standards related to both the quality of the position information (GPS Integrity or "NIC") and the quality of the avionics (SDA or system design assurance)and the quality of the install or SIL The specifics of what quality message triggers the system is under review by the FAA, but if you equipment is certified (TSO'd) and the install is in accordance with AC-20/165B you will be fine.
Note, if you have a UAT ADS-B you can specify which uplink frequency you want in the same way.
Further note - almost all ADS-B system are single band transmitters (ADS-B Out) and dual band receivers (ADS-B In).
Nuance - the uplink is broadcast to the quadrant (relative to the ground station) where you are flying. This can lead to aircraft with no or "below quality" ADS-B out receiving traffic intended for another aircraft. Depending on geometry this can create a partial traffic picture which can be quite misleading and potentially dangerous
No, you will most likely not get a TIS-B service dedicated to your aircraft.
The TIS-B transmitting system creates a 'traffic puck' around aircraft that:
a) have a version 2 ADS-B transmitter,
b) transmit the proper quality indicators which indicates that the system is certified and is properly functioning, and
c) indicate in their ADS-B transmissions that the aircraft is equipped with ADS-B IN. (see FAA ADS-B FAQ #34, link provided by @Rigged4Flight )
Typically TIS-B will provide information on the same frequency as the ADS-B transmitter, but the ADS-B protocol allows for indicating a different technology is used for ADS-B IN. I am not sure whether the FAA system uses this information.
Note: currently version 1 ADS-B aircraft with sufficient data quality are also still eligible for TIS-B services, however this will change in the next couple of years.