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Non-commutative 4-spheres based on all Podleś 2-spheres and beyond

Tomasz Brzezinski, Cezary Gonera

math.QAarXiv:math/0101129

Abstract

A wide class of noncommutative spaces, including 4-spheres based on all the quantum 2-spheres and suspensions of matrix quantum groups is described. For each such space a noncommutative vector bundle is constructed. This generalises and clarifies various recent constructions of noncommutative 4-spheres.

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