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Algebras in Analysis
October 4, 2019 18:05–19:35, Moscow, Lomonosov Moscow State University, room 13-20.
 


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

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