A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to defining universal characteristic classes are outlined.
@article{bwmeta1.element.bwnjournal-article-bcpv40z1p315bwm, author = {Durdevic, Mico}, title = {Quantum classifying spaces and universal quantum characteristic classes}, journal = {Banach Center Publications}, volume = {38}, year = {1997}, pages = {315-327}, zbl = {0877.55009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p315bwm} }
Đurđević, Mićo. Quantum classifying spaces and universal quantum characteristic classes. Banach Center Publications, Tome 38 (1997) pp. 315-327. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv40z1p315bwm/
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