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Although there is inheritance tax in Nebraska, it is only on property of decedent that resided or owned property in Ne. If all of the property is from CA, it is not subject to NE inheritance tax. Also, there is no federal inheritance tax.
There will be no estate tax either, since the estate amount is under the exemption amount. (2 million).
The only tax that you may be required to pay is income tax, if any of the inherited funds represent pre-tax accounts, such as pension, 401k, IRA, etc. If this is the case, then these funds will be taxable to you as income in the same manner as they would have been to the decedent.
If you sell any property after the decedent's death that has appreciated since decedent's death, you will owe applicable tax on the gain, such as capital gain on real estate.
Let me know if you need additional information.