If you do not want to use GOT2B Glue or adhesive glue then gentle doubled sided wig tape if the alternative for you!
Measured at 0.8mm/ or 0.5cm this is very discreet but don't be fooled it still as strong as its big brothers.
Directions:
Cut small even pieces of tape and place along the inner hairline of the cap. When your ready to install peel off and firmly press down one bit at a time.
Be Your Own Kind Of Beautiful