Anwer
Google doesnt supprot it Signout for Google External Identity Provider isn't working
Background Information:
When a user is signing-out of IdentityServer, and they have used an external identity provider to sign-in then it is likely that they should be redirected to also sign-out of the external provider. Not all external providers support sign-out, as it depends on the protocol and features they support.
To detect that a user must be redirected to an external identity provider for sign-out is typically done by using a idp claim issued into the cookie at IdentityServer. The value set into this claim is the AuthenticationScheme of the corresponding authentication middleware. At sign-out time this claim is consulted to know if an external sign-out is required.
[HttpPost]
[ValidateAntiForgeryToken]
public async Task<IActionResult> Logout(LogoutInputModel model)
{
// build a model so the logged out page knows what to display
var vm = await _account.BuildLoggedOutViewModelAsync(model.LogoutId);
var user = HttpContext.User;
if (user?.Identity.IsAuthenticated == true)
{
// delete local authentication cookie
await HttpContext.SignOutAsync();
// raise the logout event
await _events.RaiseAsync(new UserLogoutSuccessEvent(user.GetSubjectId(), user.GetName()));
}
// check if we need to trigger sign-out at an upstream identity provider
if (vm.TriggerExternalSignout)
{
// build a return URL so the upstream provider will redirect back
// to us after the user has logged out. this allows us to then
// complete our single sign-out processing.
string url = Url.Action("Logout", new { logoutId = vm.LogoutId });
// this triggers a redirect to the external provider for sign-out
return SignOut(new AuthenticationProperties { RedirectUri = url }, vm.ExternalAuthenticationScheme);
}
return View("LoggedOut", vm);
}
Ripped directly from the documentation Sign-out of External Identity Providers