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Mathematics > Operator Algebras

arXiv:2204.11182 (math)
[Submitted on 24 Apr 2022 (v1), last revised 15 Aug 2022 (this version, v2)]

Title:Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose

Authors:Alexander Gorokhovsky, Erik van Erp
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Abstract:In this paper we present a formula for the index of a pseudodifferential operator with invertible principal symbol in the extended Heisenberg calculus of Epstein and Melrose. Our results build on the work we did in a previous paper (arXiv:2010.02900), where we restricted attention to the Heisenberg calculus proper.
Comments: arXiv admin note: text overlap with arXiv:2010.02884
Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA)
Cite as: arXiv:2204.11182 [math.OA]
  (or arXiv:2204.11182v2 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.2204.11182

Submission history

From: Alexander Gorokhovsky [view email]
[v1] Sun, 24 Apr 2022 03:40:19 UTC (16 KB)
[v2] Mon, 15 Aug 2022 18:51:50 UTC (16 KB)
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