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math.KT2013
Vector bundles from generalized pairs of cocycles
Vladimir Manuilov, Chao You
It is interesting to know, how far we can generalize the notion of a group-valued cocycle keeping the property to determine a bundle. We find a generalization for pairs of cocycles…
math.OA2013
Weakening idempotency in K-theory
Vladimir Manuilov
We show that the K-theory of C*-algebras can be defined by pairs of matrices satisfying less strict relations than idempotency.