

Algebras in Analysis
October 4, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 1320.






The fundamental group of quantum spaces
P. R. Ivankov^{} 
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Abstract:
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

