Hi Bill,
The asterisks mean that this particular ACS estimate has been controlled to the Census Bureau's official population estimate for this racial/ethnic group. So there is no sampling error associated with the estimate. The Census Bureau's "Accuracy of the Data" document states the following:
"If the margin of error is displayed as ‘*****’ (five asterisks), the estimate has been controlled to be equal to a fixed value and so it has no sampling error. A standard error of zero should be used for these controlled estimates when completing calculations, such as those in the following section."
See:
www2.census.gov/.../MultiyearACSAccuracyofData2016.pdf (Page 11)
I hope this helps,
-Mark