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Tracing cyclic homology pairings under twisting of graded algebras

Chakraborty, Sayan; Yamashita, Makoto
Journal article; AcceptedVersion; Peer reviewed
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lmp_v2.pdf (470.6Kb)
Year
2019
Permanent link
http://urn.nb.no/URN:NBN:no-78145

CRIStin
1706701

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Appears in the following Collection
  • Matematisk institutt [2656]
  • CRIStin høstingsarkiv [22066]
Original version
Letters in Mathematical Physics. 2019, 109 (7), 1625-1664, DOI: https://doi.org/10.1007/s11005-018-01147-7
Abstract
We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss–Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology.
 
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