A noncommutative Atiyah-Patodi-Singer index theorem in KK-theory

Simple item page
dc.creatorCarey, A. L.
dc.creatorPhillips, J.
dc.creatorRennie, A.
dc.date2007-11-19
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:09Z
dc.date.available2026-07-07T09:18:09Z
dc.descriptionWe investigate an extension of ideas of Atiyah-Patodi-Singer (APS) to a noncommutative geometry setting framed in terms of Kasparov modules. We use a mapping cone construction to relate odd index pairings to even index pairings with APS boundary conditions in the setting of KK-theory, generalising the commutative theory. We find that Cuntz-Kreiger systems provide a natural class of examples for our construction and the index pairings coming from APS boundary conditions yield complete K-theoretic information about certain graph C*-algebras.
dc.description40 pages, minor corrections to final section
dc.identifierhttps://arxiv.org/abs/0711.3028
dc.identifierhttp://arxiv.org/abs/0711.3028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153922
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.titleA noncommutative Atiyah-Patodi-Singer index theorem in KK-theory
dc.typetext

Files

Collections

arXiv