The fundamental group of quantum spaces

Some time ago, the author developed a theory of fundamental groups of $C^*$-algebras, and gave a talk about this on the Algebras in Analysis seminar: http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=21438
A $C^*$-algebra is a special case of a quantum space. In the present talk, we extend our earlier theory to quantum spaces, in particular, to super-$C^*$-algebras.
Our theory also applies to locally trivial bundles of Hilbert spaces.
Details are available here: http://www.mathframe.com/articles/noncommutative/noncommutative_geometry_of_quantized_coverings.pdf