public Token Rename( 
   Description description,
   string newName
)

public void RenameFeatureDatasetSnippet(Geodatabase geodatabase)
{
  // Renaming a FeatureDataset from 'Parcel_Information' to 'Parcel_Information_With_Tax_Jurisdiction'

  string originalDatasetName = "Parcel_Information";
  string datasetRenameAs = "Parcel_Information_With_Tax_Jurisdiction";

  FeatureDatasetDefinition originalDatasetDefinition =
    geodatabase.GetDefinition<FeatureDatasetDefinition>(originalDatasetName);
  FeatureDatasetDescription originalFeatureDatasetDescription = new FeatureDatasetDescription(originalDatasetDefinition);

  SchemaBuilder schemaBuilder = new SchemaBuilder(geodatabase);

  // Rename the existing FeatureDataset, 'Parcel_Information' to 'Parcel_Information_With_Tax_Jurisdiction'
  schemaBuilder.Rename(originalFeatureDatasetDescription, datasetRenameAs);
  schemaBuilder.Build();
}

public void RenameTableSnippet(Geodatabase geodatabase)
{
  //Renaming a table from 'Original_Table' to 'Renamed_Table'

  string tableToBeRenamed = "Original_Table";
  string tableRenameAs = "Renamed_Table";

  TableDefinition tableDefinition = geodatabase.GetDefinition<TableDefinition>(tableToBeRenamed);

  SchemaBuilder schemaBuilder = new SchemaBuilder(geodatabase);

  // Table rename 
  schemaBuilder.Rename(new TableDescription(tableDefinition), tableRenameAs);
  schemaBuilder.Build();
}

public void Rename(SchemaBuilder schemaBuilder, AnnotationFeatureClassDefinition annotationFeatureClassDefinition, string featureClassNewName)
{
  AnnotationFeatureClassDescription annotationFeatureClassDescription = new AnnotationFeatureClassDescription(annotationFeatureClassDefinition);
  
  // Enqueue rename operation
  schemaBuilder.Rename(annotationFeatureClassDescription, featureClassNewName);
  
  // Execute DDL
  schemaBuilder.Build();
}