The asymptotic Connes-Moscovici characteristic map and the index cocycles

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dc.authorid0000-0002-9672-6660
dc.authorid0000-0003-0925-8668
dc.contributor.authorKaygun, Atabeyen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2026-03-10T12:21:19Z
dc.date.available2026-03-10T12:21:19Z
dc.date.issued2020
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe show that the (even and odd) index cocycles for theta-summable Fredholm modules are in the image of the Connes–Moscovici characteristic map. To show this, we first define a new range of asymptotic cohomologies, and then we extend the Connes–Moscovici characteristic map to our setting. The ordinary periodic cyclic cohomology and the entire cyclic cohomology appear as two instances of this setup. We then construct an asymptotic characteristic class, defined independently from the underlying Fredholm module. Paired with the K-theory, the image of this class under the characteristic map yields a non-zero scalar multiple of the index in the even case, and the spectral flow in the odd case.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKaygun, A. & Sütlü, S. (2020). The asymptotic Connes-Moscovici characteristic map and the index cocycles. Banach Center Publications, 120, 221-344. doi:https://doi.org/10.4064/bc120-15en_US
dc.identifier.endpage244
dc.identifier.issn1730-6299
dc.identifier.startpage221
dc.identifier.urihttps://hdl.handle.net/11729/7120
dc.identifier.urihttps://doi.org/10.4064/bc120-15
dc.identifier.volume120
dc.institutionauthorSütlü, Serkanen_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherInstitute of Mathematics Polish Academy of Sciencesen_US
dc.relation.ispartofBanach Center Publicationsen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCyclic cohomologyen_US
dc.subjectIndex theoryen_US
dc.subjectConnes–Moscovici characteristic mapen_US
dc.titleThe asymptotic Connes-Moscovici characteristic map and the index cocyclesen_US
dc.typeArticleen_US
dspace.entity.typePublicationen_US

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