Hello,  
There is no built-in action to delete a user's profile in Adaxes, but you can always use a script for this purpose. Here's a script that deletes a user's standard profile, V2 profile and V4 profile (appears in Windows 8 / Server 2012):
$profileSuffixes = @(".V2", ".V4") # TODO: modify me
# Get name of the user who invokes the script
$adminName = "$env:userdomain\$env:username"
# Function to get full access to all subdirectories in a directory
function GrantFullControlForDirectory($directoryPath, $username, $directoryWithFullPermission)
{
    if ($directoryWithFullPermission.Contains($directoryPath))
    {
        return
    }
    $directoryWithFullPermission.Add($directoryPath) | Out-Null
    $directory = Get-Item -Path $directoryPath -Force
    # Change directory owner
    $ownerAcl = New-Object "System.Security.AccessControl.DirectorySecurity"
    $ownerID = New-Object "System.Security.Principal.NTAccount" $username
    $ownerAcl.SetOwner($ownerID)
    $directory.SetAccessControl($ownerAcl)
    # Set the Full Access permission
    $directoryAcl = Get-Acl $directoryPath
    $fullPermission = New-Object "System.Security.AccessControl.FileSystemAccessRule" $userName, "FullControl","ContainerInherit, ObjectInherit", "None", "Allow"
    $directoryAcl.SetAccessRule($fullPermission)
    Set-Acl -Path $directoryPath -AclObject $directoryAcl
    $childItems = Get-ChildItem -Path $directoryPath -Force
    if($childItems -eq $NULL)
    {
        return
    }
    foreach($item in $childItems)
    {
        if($item -is [System.IO.DirectoryInfo])
        {
            GrantFullControlForDirectory $item.FullName $username $directoryWithFullPermission
        }
    }
}
# Function to get full access to all files in a directory
function GrantFullControlForFiles($directoryPath, $username)
{
    # Get full access to all files in the directory
    $allFilePaths = [System.IO.Directory]::GetFiles($directoryPath,"*","AllDirectories")
    foreach($filePath in $allFilePaths)
    {
        $file = Get-Item -Path $filePath -Force
        # Change owner
        $ownerAcl = New-Object "System.Security.AccessControl.FileSecurity"
        $ownerID = New-Object "System.Security.Principal.NTAccount" $username
        $ownerAcl.SetOwner($ownerID)
        $file.SetAccessControl($ownerAcl)
        # Set Full Access permission
        $fileAcl = Get-Acl $filePath
        $fullPermission = New-Object "System.Security.AccessControl.FileSystemAccessRule" $username, "FullControl", "Allow"
        $fileAcl.SetAccessRule($fullPermission)
        Set-Acl -Path $filePath -AclObject $fileAcl
    }
}
# Get profile path from AD
$profilePaths = @()
try
{
    $profilePath += $Context.TargetObject.Get("profilePath")
    $profilePaths += $profilePath
}
catch
{
    $Context.LogMessage("No profile path specified", "Information") # TODO: modify me
    return
}
# Also check profile paths with suffixes (V2 and V4 profiles)
foreach ($suffix in $profileSuffixes)
{
    $profilePaths += "$profilePath$suffix"
}
# Remove profile folders
foreach ($profilePath in $profilePaths)
{
    if (!(Test-Path -Path $profilePath))
    {
        $Context.LogMessage("Profile '$profilePath' missing", "Information")
        continue
    }
    # Change permissions
    $directoryWithFullPermission = New-Object "System.Collections.Generic.HashSet[System.String]"
    GrantFullControlForDirectory $profilePath $adminName $directoryWithFullPermission
    GrantFullControlForFiles $profilePath $adminName
    # Remove the profile folder
    try
    {
        Remove-Item -Path $profilePath -Force -Recurse -ErrorAction Stop
        $Context.LogMessage("Profile '$profilePath' successfully removed", "Information")
    }
    catch
    {
        $Context.LogMessage($_.Exception.Message, "Error") # TODO: modify me
    }
}
To add the script to your Business Rule, Custom Command or Scheduled Task, use the Run a program or PowerShell script action.
