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Strong Connections and Chern-Connes Pairing in the Hopf-Galois Theory | | L. Dabrowski
; H. Grosse
; P.M. Hajac
; | | Date: |
31 Dec 1999 | | Subject: | Quantum Algebra; K-Theory and Homology | math.QA math.KT | | Abstract: | We reformulate the concept of connection on a Hopf-Galois extension $Bsubseteq P$ in order to apply it in computing the Chern-Connes pairing between the cyclic cohomology $HC^{2n} (B)$ and $K_0 (B)$. This reformulation allows us to show that a Hopf-Galois extension admitting a strong connection is projective and left faithfully flat. It also enables us to conclude that a strong connection is a Cuntz-Quillen-type bimodule connection. To exemplify the theory, we construct a strong connection (super Dirac monopole) to find out the Chern-Connes pairing for the super line bundles associated to super Hopf fibration. | | Source: | arXiv, math.QA/9912239 | | Services: | Forum | Review | PDF | Favorites | |
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