On stability of index of Fredholm complexes on the C* -algebra |
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Authors: | Sadi Bayramov |
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Institution: | 1. Department of Mathematics , Kocaeli University , Anitpark, Izmit–, Kocaeli, Turkey sbayram@kou.edu.tr |
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Abstract: | This article deals with the index of Fredholm complexes of Λ-operators of the Hilbert Λ-modulus on C*-algebra. For this class of operators necessary and sufficient conditions in order to be a Fredholm, are obtained. Based on these results, a notion of Fredholm complex and its index is introduced. For this index, a stability theorem related to various perturbations is proved. In the second part of the article, a completation of a semigroup Fredholm complexes is analysed. It is proved that the group K G (X, Λ) is the completation of G ? Λ-fibration of the above group on the compact space X. |
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Keywords: | Fredholm complex Λ-operators on C*-algebra perturbation index |
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