I have to say that this paper has more references to contradictions of what is said in it than I have ever seen. I think I like this one, “it is neither useful nor strictly correct to interpret the frequency shifts of lightProf Layman, you need to read Expanding Confusion: common misconceptions of cosmological horizons and the superluminal expansion of the Universe by Davis and Lineweaver. This should get you interested:
"We show that we can observe galaxies that have, and always have had, recession velocities greater than the speed of light."
from very distant sources in terms of a special-relativistic D¨oppler shift alone." As the whole paper seems to do this...
I don't think any of the concepts in this paper has really gone mainstream yet, as written in books for the general public. They all tend to agree that galaxies close to the edge of the visable universe are traveling close to the speed of light, and are even quoted in that paper as saying so. I think this one probably explains it best from the paper, also considering that scientist have recently confirmed that the universe is exanding exponentially and the speed is increasing.
Harrison, E. R. 1991, ApJ, 383, 60–65, Hubble spheres and particle horizons, All accelerating universes, including universes having only a limited period of acceleration, have the property that galaxies at distances L < LH are later at L > LH, and their subluminal recession in the course of time becomes superluminal. Light emitted outside the Hubble sphere and traveling through space toward the observer recedes and can never enter the Hubble sphere and approach the observer. Clearly,
there are events that can never be observed, and such universes have event horizons.” The misleading part of this quote is subtle – there will be an event horizon in such universes (accelerating universes), but it needn’t coincide with the Hubble sphere. Unless the universe is accelerating so quickly that the Hubble sphere does not expand (exponential expansion) we will still observe things from beyond the Hubble sphere, even though there is an event horizon.