diff --git a/crates/squawk_ide/src/code_actions.rs b/crates/squawk_ide/src/code_actions.rs
index 30cefb21..842adfe3 100644
--- a/crates/squawk_ide/src/code_actions.rs
+++ b/crates/squawk_ide/src/code_actions.rs
@@ -387,6 +387,12 @@ fn add_explicit_alias(
         return None;
     }
 
+    if let Some(ast::Expr::FieldExpr(field_expr)) = target.expr()
+        && field_expr.star_token().is_some()
+    {
+        return None;
+    }
+
     let alias = ColumnName::from_target(target.clone()).and_then(|c| c.0.to_string())?;
 
     let expr_end = target.expr().map(|e| e.syntax().text_range().end())?;
@@ -1513,6 +1519,14 @@ select myschema.f$0();"
         ));
     }
 
+    #[test]
+    fn add_explicit_alias_not_applicable_qualified_star() {
+        assert!(code_action_not_applicable(
+            add_explicit_alias,
+            "with t as (select 1 a) select t.*$0 from t;"
+        ));
+    }
+
     #[test]
     fn add_explicit_alias_literal() {
         assert_snapshot!(apply_code_action(
diff --git a/crates/squawk_ide/src/completion.rs b/crates/squawk_ide/src/completion.rs
index f5db6413..183ab181 100644
--- a/crates/squawk_ide/src/completion.rs
+++ b/crates/squawk_ide/src/completion.rs
@@ -75,6 +75,15 @@ fn select_completions(
         && let Some(select) = ast::Select::cast(parent)
         && let Some(from_clause) = select.from_clause()
     {
+        completions.push(CompletionItem {
+            label: "*".to_string(),
+            kind: CompletionItemKind::Operator,
+            detail: None,
+            insert_text: None,
+            insert_text_format: None,
+            trigger_completion_after_insert: false,
+            sort_text: None,
+        });
         for table_ptr in resolve::table_ptrs_from_clause(&binder, &from_clause) {
             let table_node = table_ptr.to_node(file.syntax());
             match resolve::find_table_source(&table_node) {
@@ -488,6 +497,7 @@ pub enum CompletionItemKind {
     Schema,
     Type,
     Snippet,
+    Operator,
 }
 
 impl CompletionItemKind {
@@ -499,6 +509,7 @@ impl CompletionItemKind {
             Self::Type => "1",
             Self::Snippet => "1",
             Self::Function => "2",
+            Self::Operator => "8",
             Self::Schema => "9",
         }
     }
@@ -696,6 +707,7 @@ select $0 from t;
          b                  | Column   | int                     |             
          t                  | Table    |                         |             
          f()                | Function | public.f() returns text |             
+         *                  | Operator |                         |             
          public             | Schema   |                         |             
          pg_catalog         | Schema   |                         |             
          pg_temp            | Schema   |                         |             
@@ -710,9 +722,10 @@ select $0 from t;
 create table t (c int);
 select t.$0 from t;
 "), @r"
-         label | kind   | detail | insert_text 
-        -------+--------+--------+-------------
-         c     | Column | int    |             
+         label | kind     | detail | insert_text 
+        -------+----------+--------+-------------
+         c     | Column   | int    |             
+         *     | Operator |        |
         ");
     }
 
@@ -722,14 +735,15 @@ select t.$0 from t;
 with t as (select 1 a)
 select $0 from t;
 "), @r"
-         label              | kind   | detail  | insert_text 
-        --------------------+--------+---------+-------------
-         a                  | Column | integer |             
-         public             | Schema |         |             
-         pg_catalog         | Schema |         |             
-         pg_temp            | Schema |         |             
-         pg_toast           | Schema |         |             
-         information_schema | Schema |         |
+         label              | kind     | detail  | insert_text 
+        --------------------+----------+---------+-------------
+         a                  | Column   | integer |             
+         *                  | Operator |         |             
+         public             | Schema   |         |             
+         pg_catalog         | Schema   |         |             
+         pg_temp            | Schema   |         |             
+         pg_toast           | Schema   |         |             
+         information_schema | Schema   |         |
         ");
     }
 
@@ -739,16 +753,17 @@ select $0 from t;
 with t as (values (1, 'foo', false))
 select $0 from t;
 "), @r"
-         label              | kind   | detail  | insert_text 
-        --------------------+--------+---------+-------------
-         column1            | Column | integer |             
-         column2            | Column | text    |             
-         column3            | Column | boolean |             
-         public             | Schema |         |             
-         pg_catalog         | Schema |         |             
-         pg_temp            | Schema |         |             
-         pg_toast           | Schema |         |             
-         information_schema | Schema |         |
+         label              | kind     | detail  | insert_text 
+        --------------------+----------+---------+-------------
+         column1            | Column   | integer |             
+         column2            | Column   | text    |             
+         column3            | Column   | boolean |             
+         *                  | Operator |         |             
+         public             | Schema   |         |             
+         pg_catalog         | Schema   |         |             
+         pg_temp            | Schema   |         |             
+         pg_toast           | Schema   |         |             
+         information_schema | Schema   |         |
         ");
     }
 
@@ -757,17 +772,18 @@ select $0 from t;
         assert_snapshot!(completions("
 select $0 from (values (1, 'foo', 1.5, false));
 "), @r"
-         label              | kind   | detail  | insert_text 
-        --------------------+--------+---------+-------------
-         column1            | Column | integer |             
-         column2            | Column | text    |             
-         column3            | Column | numeric |             
-         column4            | Column | boolean |             
-         public             | Schema |         |             
-         pg_catalog         | Schema |         |             
-         pg_temp            | Schema |         |             
-         pg_toast           | Schema |         |             
-         information_schema | Schema |         |
+         label              | kind     | detail  | insert_text 
+        --------------------+----------+---------+-------------
+         column1            | Column   | integer |             
+         column2            | Column   | text    |             
+         column3            | Column   | numeric |             
+         column4            | Column   | boolean |             
+         *                  | Operator |         |             
+         public             | Schema   |         |             
+         pg_catalog         | Schema   |         |             
+         pg_temp            | Schema   |         |             
+         pg_toast           | Schema   |         |             
+         information_schema | Schema   |         |
         ");
     }
 
diff --git a/crates/squawk_server/src/lsp_utils.rs b/crates/squawk_server/src/lsp_utils.rs
index 20381891..d91007ac 100644
--- a/crates/squawk_server/src/lsp_utils.rs
+++ b/crates/squawk_server/src/lsp_utils.rs
@@ -88,6 +88,7 @@ pub(crate) fn completion_item(
         CompletionItemKind::Function => lsp_types::CompletionItemKind::FUNCTION,
         CompletionItemKind::Type => lsp_types::CompletionItemKind::CLASS,
         CompletionItemKind::Snippet => lsp_types::CompletionItemKind::SNIPPET,
+        CompletionItemKind::Operator => lsp_types::CompletionItemKind::OPERATOR,
     };
 
     let sort_text = Some(item.sort_text());
diff --git a/crates/squawk_wasm/src/lib.rs b/crates/squawk_wasm/src/lib.rs
index b4481208..d11b6925 100644
--- a/crates/squawk_wasm/src/lib.rs
+++ b/crates/squawk_wasm/src/lib.rs
@@ -553,6 +553,7 @@ pub fn completion(content: String, line: u32, col: u32) -> Result<JsValue, Error
                 squawk_ide::completion::CompletionItemKind::Schema => "schema",
                 squawk_ide::completion::CompletionItemKind::Type => "type",
                 squawk_ide::completion::CompletionItemKind::Snippet => "snippet",
+                squawk_ide::completion::CompletionItemKind::Operator => "operator",
             }
             .to_string(),
             detail: item.detail,