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Would you have a link to what you mean? Spinning black holes can take matter with it (framedragging), while also, depending on matters momentum/vector (relative the black hole) fling it back out again. I don't think you can have a boundary constantly devoid of matter though, around a black hole? Or you can, depending on observer dependencies?from the aspect of being at a event horizon, relative observing it from afar you mean?
The massive black hole at the center of our galaxy does not seem to very active at the moment, so one assumes that it is surrounded by a void - the vacuum of space. Astronomers are hoping that this will change any day now, as the G2 gas cloud approaches the closest point on its elliptical orbit around this unseen focus. I expect that other galaxies with an active galactic nucleus will have an accretion disk, and there will be a continuous band of matter (in the form of a super-hot plasma) extending from the accretion disk all the way down to the event horizon. This is not to say that the density of matter will be uniform across the whole accretion disk. It is thought that perhaps 30% of the mass-energy equivalent of matter could be radiated away during this death-spiral into the event horizon.