Towards a sheaf cohomology theory for C*-algebras

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Abstract

In joint work with Pere Ara (Barcelona) we are in the process of developing a full sheaf cohomology theory for noncommutative C*-algebras. In this survey, we discuss the difficulties arising from the fact that the appropriate categories of operator module sheaves over sheaves of C*-algebras are non-abelian and therefore the homology theory needed has to be set in the more general framework
of exact categories.
Original languageEnglish
Title of host publicationBanach Algebras and Applications 2017, Oulu, Finland
PublisherWalter de Gruyter & Co., Germany
Pages1-17
ISBN (Electronic)978-3-11-021809-1
ISBN (Print)978-3-11-021808-4
Publication statusAccepted - 01 Feb 2019

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