The provisions in the Probate Code (section 254) say that their either has to be a final judgment of conviction of felonious and intentional killing, or a special judgment on preponderance of evidence for the purposes of inheritance with the burden of proof on the requesting party, in order for Scott to be barred from any inheritence through a will or intestate succession, or any property interests in community property.
Unless there was a special arrangement otherwise, Laci's estate has a half-interest in the wedding ring and other such items, and Scott has the other half.