diff --git a/include/rootston/desktop.h b/include/rootston/desktop.h
index 8bf1f6eb..e5c5f806 100644
--- a/include/rootston/desktop.h
+++ b/include/rootston/desktop.h
@@ -60,11 +60,13 @@ struct roots_server;
 struct roots_desktop *desktop_create(struct roots_server *server,
 		struct roots_config *config);
 void desktop_destroy(struct roots_desktop *desktop);
+struct roots_output *desktop_output_from_wlr_output(
+	struct roots_desktop *desktop, struct wlr_output *output);
+struct roots_view *desktop_view_at(struct roots_desktop *desktop, double lx,
+	double ly, struct wlr_surface **surface, double *sx, double *sy);
 
 void view_init(struct roots_view *view, struct roots_desktop *desktop);
 void view_destroy(struct roots_view *view);
-struct roots_view *view_at(struct roots_desktop *desktop, double lx, double ly,
-		struct wlr_surface **surface, double *sx, double *sy);
 void view_activate(struct roots_view *view, bool activate);
 
 void output_add_notify(struct wl_listener *listener, void *data);
diff --git a/rootston/cursor.c b/rootston/cursor.c
index 71075aa9..b3c87b30 100644
--- a/rootston/cursor.c
+++ b/rootston/cursor.c
@@ -37,7 +37,7 @@ static void roots_cursor_update_position(struct roots_cursor *cursor,
 	double sx, sy;
 	switch (cursor->mode) {
 	case ROOTS_CURSOR_PASSTHROUGH:
-		view = view_at(desktop, cursor->cursor->x, cursor->cursor->y,
+		view = desktop_view_at(desktop, cursor->cursor->x, cursor->cursor->y,
 			&surface, &sx, &sy);
 		bool set_compositor_cursor = !view && cursor->cursor_client;
 		if (view) {
@@ -137,7 +137,8 @@ static void roots_cursor_press_button(struct roots_cursor *cursor,
 
 	struct wlr_surface *surface;
 	double sx, sy;
-	struct roots_view *view = view_at(desktop, lx, ly, &surface, &sx, &sy);
+	struct roots_view *view =
+		desktop_view_at(desktop, lx, ly, &surface, &sx, &sy);
 
 	if (state == WLR_BUTTON_PRESSED &&
 			view &&
@@ -237,7 +238,7 @@ void roots_cursor_handle_touch_down(struct roots_cursor *cursor,
 		return;
 	}
 	double sx, sy;
-	view_at(desktop, lx, ly, &surface, &sx, &sy);
+	desktop_view_at(desktop, lx, ly, &surface, &sx, &sy);
 
 	uint32_t serial = 0;
 	if (surface) {
@@ -291,7 +292,7 @@ void roots_cursor_handle_touch_motion(struct roots_cursor *cursor,
 	}
 
 	double sx, sy;
-	view_at(desktop, lx, ly, &surface, &sx, &sy);
+	desktop_view_at(desktop, lx, ly, &surface, &sx, &sy);
 
 	if (surface) {
 		wlr_seat_touch_point_focus(cursor->seat->seat, surface,
diff --git a/rootston/desktop.c b/rootston/desktop.c
index 0eb63dc4..1a21a7c2 100644
--- a/rootston/desktop.c
+++ b/rootston/desktop.c
@@ -163,6 +163,11 @@ void view_set_fullscreen(struct roots_view *view, bool fullscreen,
 		if (output == NULL) {
 			output = view_get_output(view);
 		}
+		struct roots_output *roots_output =
+			desktop_output_from_wlr_output(view->desktop, output);
+		if (roots_output == NULL) {
+			return;
+		}
 
 		struct wlr_box view_box;
 		view_get_box(view, &view_box);
@@ -179,14 +184,8 @@ void view_set_fullscreen(struct roots_view *view, bool fullscreen,
 			output_box->height);
 		view->rotation = 0;
 
-		struct roots_output *roots_output;
-		wl_list_for_each(roots_output, &view->desktop->outputs, link) {
-			if (roots_output->wlr_output == output) {
-				roots_output->fullscreen_view = view;
-				view->fullscreen_output = roots_output;
-				break;
-			}
-		}
+		roots_output->fullscreen_view = view;
+		view->fullscreen_output = roots_output;
 	}
 
 	if (was_fullscreen && !fullscreen) {
@@ -273,83 +272,104 @@ void view_setup(struct roots_view *view) {
 	view_update_output(view, &before);
 }
 
-struct roots_view *view_at(struct roots_desktop *desktop, double lx, double ly,
+static bool view_at(struct roots_view *view, double lx, double ly,
 		struct wlr_surface **surface, double *sx, double *sy) {
+	if (view->type == ROOTS_WL_SHELL_VIEW &&
+			view->wl_shell_surface->state == WLR_WL_SHELL_SURFACE_STATE_POPUP) {
+		return false;
+	}
+
+	double view_sx = lx - view->x;
+	double view_sy = ly - view->y;
+
+	struct wlr_surface_state *state = view->wlr_surface->current;
+	struct wlr_box box = {
+		.x = 0,
+		.y = 0,
+		.width = state->buffer_width / state->scale,
+		.height = state->buffer_height / state->scale,
+	};
+	if (view->rotation != 0.0) {
+		// Coordinates relative to the center of the view
+		double ox = view_sx - (double)box.width/2,
+			oy = view_sy - (double)box.height/2;
+		// Rotated coordinates
+		double rx = cos(view->rotation)*ox - sin(view->rotation)*oy,
+			ry = cos(view->rotation)*oy + sin(view->rotation)*ox;
+		view_sx = rx + (double)box.width/2;
+		view_sy = ry + (double)box.height/2;
+	}
+
+	if (view->type == ROOTS_XDG_SHELL_V6_VIEW) {
+		double popup_sx, popup_sy;
+		struct wlr_xdg_surface_v6 *popup =
+			wlr_xdg_surface_v6_popup_at(view->xdg_surface_v6,
+				view_sx, view_sy, &popup_sx, &popup_sy);
+
+		if (popup) {
+			*sx = view_sx - popup_sx;
+			*sy = view_sy - popup_sy;
+			*surface = popup->surface;
+			return true;
+		}
+	}
+
+	if (view->type == ROOTS_WL_SHELL_VIEW) {
+		double popup_sx, popup_sy;
+		struct wlr_wl_shell_surface *popup =
+			wlr_wl_shell_surface_popup_at(view->wl_shell_surface,
+				view_sx, view_sy, &popup_sx, &popup_sy);
+
+		if (popup) {
+			*sx = view_sx - popup_sx;
+			*sy = view_sy - popup_sy;
+			*surface = popup->surface;
+			return true;
+		}
+	}
+
+	double sub_x, sub_y;
+	struct wlr_subsurface *subsurface =
+		wlr_surface_subsurface_at(view->wlr_surface,
+			view_sx, view_sy, &sub_x, &sub_y);
+	if (subsurface) {
+		*sx = view_sx - sub_x;
+		*sy = view_sy - sub_y;
+		*surface = subsurface->surface;
+		return true;
+	}
+
+	if (wlr_box_contains_point(&box, view_sx, view_sy) &&
+			pixman_region32_contains_point(&view->wlr_surface->current->input,
+				view_sx, view_sy, NULL)) {
+		*sx = view_sx;
+		*sy = view_sy;
+		*surface = view->wlr_surface;
+		return true;
+	}
+
+	return false;
+}
+
+struct roots_view *desktop_view_at(struct roots_desktop *desktop, double lx,
+		double ly, struct wlr_surface **surface, double *sx, double *sy) {
+	struct wlr_output *wlr_output =
+		wlr_output_layout_output_at(desktop->layout, lx, ly);
+	if (wlr_output != NULL) {
+		struct roots_output *output =
+			desktop_output_from_wlr_output(desktop, wlr_output);
+		if (output != NULL && output->fullscreen_view != NULL) {
+			if (view_at(output->fullscreen_view, lx, ly, surface, sx, sy)) {
+				return output->fullscreen_view;
+			} else {
+				return NULL;
+			}
+		}
+	}
+
 	struct roots_view *view;
 	wl_list_for_each(view, &desktop->views, link) {
-		if (view->type == ROOTS_WL_SHELL_VIEW &&
-				view->wl_shell_surface->state ==
-				WLR_WL_SHELL_SURFACE_STATE_POPUP) {
-			continue;
-		}
-
-		double view_sx = lx - view->x;
-		double view_sy = ly - view->y;
-
-		struct wlr_surface_state *state = view->wlr_surface->current;
-		struct wlr_box box = {
-			.x = 0,
-			.y = 0,
-			.width = state->buffer_width / state->scale,
-			.height = state->buffer_height / state->scale,
-		};
-		if (view->rotation != 0.0) {
-			// Coordinates relative to the center of the view
-			double ox = view_sx - (double)box.width/2,
-				oy = view_sy - (double)box.height/2;
-			// Rotated coordinates
-			double rx = cos(view->rotation)*ox - sin(view->rotation)*oy,
-				ry = cos(view->rotation)*oy + sin(view->rotation)*ox;
-			view_sx = rx + (double)box.width/2;
-			view_sy = ry + (double)box.height/2;
-		}
-
-		if (view->type == ROOTS_XDG_SHELL_V6_VIEW) {
-			double popup_sx, popup_sy;
-			struct wlr_xdg_surface_v6 *popup =
-				wlr_xdg_surface_v6_popup_at(view->xdg_surface_v6,
-					view_sx, view_sy, &popup_sx, &popup_sy);
-
-			if (popup) {
-				*sx = view_sx - popup_sx;
-				*sy = view_sy - popup_sy;
-				*surface = popup->surface;
-				return view;
-			}
-		}
-
-		if (view->type == ROOTS_WL_SHELL_VIEW) {
-			double popup_sx, popup_sy;
-			struct wlr_wl_shell_surface *popup =
-				wlr_wl_shell_surface_popup_at(view->wl_shell_surface,
-					view_sx, view_sy, &popup_sx, &popup_sy);
-
-			if (popup) {
-				*sx = view_sx - popup_sx;
-				*sy = view_sy - popup_sy;
-				*surface = popup->surface;
-				return view;
-			}
-		}
-
-		double sub_x, sub_y;
-		struct wlr_subsurface *subsurface =
-			wlr_surface_subsurface_at(view->wlr_surface,
-				view_sx, view_sy, &sub_x, &sub_y);
-		if (subsurface) {
-			*sx = view_sx - sub_x;
-			*sy = view_sy - sub_y;
-			*surface = subsurface->surface;
-			return view;
-		}
-
-		if (wlr_box_contains_point(&box, view_sx, view_sy) &&
-				pixman_region32_contains_point(
-					&view->wlr_surface->current->input,
-					view_sx, view_sy, NULL)) {
-			*sx = view_sx;
-			*sy = view_sy;
-			*surface = view->wlr_surface;
+		if (view_at(view, lx, ly, surface, sx, sy)) {
 			return view;
 		}
 	}
@@ -445,3 +465,14 @@ struct roots_desktop *desktop_create(struct roots_server *server,
 void desktop_destroy(struct roots_desktop *desktop) {
 	// TODO
 }
+
+struct roots_output *desktop_output_from_wlr_output(
+		struct roots_desktop *desktop, struct wlr_output *output) {
+	struct roots_output *roots_output;
+	wl_list_for_each(roots_output, &desktop->outputs, link) {
+		if (roots_output->wlr_output == output) {
+			return roots_output;
+		}
+	}
+	return NULL;
+}
diff --git a/rootston/keyboard.c b/rootston/keyboard.c
index f3fc9a85..6ad99077 100644
--- a/rootston/keyboard.c
+++ b/rootston/keyboard.c
@@ -95,6 +95,12 @@ static void keyboard_binding_execute(struct roots_keyboard *keyboard,
 		if (focus != NULL) {
 			view_close(focus);
 		}
+	} else if (strcmp(command, "fullscreen") == 0) {
+		struct roots_view *focus = roots_seat_get_focus(seat);
+		if (focus != NULL) {
+			bool is_fullscreen = focus->fullscreen_output != NULL;
+			view_set_fullscreen(focus, !is_fullscreen, NULL);
+		}
 	} else if (strcmp(command, "next_window") == 0) {
 		roots_seat_cycle_focus(seat);
 	} else if (strncmp(exec_prefix, command, strlen(exec_prefix)) == 0) {