Update Statistics has an options to update only column based statistics, index based statistics or both. Please refer to BOL for exact syntax.
Note: sp_updatestats will only update statistics that need to be updated, which - if run right after the rebuild process will not update statistics on indexes that have just been rebuilt. However, be aware that by default sp_updatestats will use the default sampling rate - which may not be good enough or may revert index statistics that were just rebuilt with a full scan to a sampling rate. Using the RESAMPLE option will make sure that those statistics would be updated with a full scan if they are selected.