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arXiv · 1010.1470

Divergences on projective modules and non-commutative integrals

Tomasz Brzeziński
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Abstract

A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a construction of a first order differential calculus on such a module which admits a hom-connection or a divergence. Properties of integrals associated to this divergence are studied, in particular the formula of integration by parts is derived. Specific examples include inner calculi on a noncommutative algebra, the Berezin integral on the supercircle and integrals on Hopf algebras.

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BibTeXRIS

Tomasz Brzeziński. 2010-11-24. Divergences on projective modules and non-commutative integrals. https://doi.org/10.1142/s0219887811005440

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