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.
of exact categories.
Original language | English |
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Title of host publication | Banach Algebras and Applications 2017, Oulu, Finland |
Publisher | Walter de Gruyter & Co., Germany |
Pages | 1-17 |
ISBN (Electronic) | 978-3-11-021809-1 |
ISBN (Print) | 978-3-11-021808-4 |
Publication status | Accepted - 01 Feb 2019 |