The C(X)-algebra of a net and index theory
| Autor: | Ruzzi, G, Vasselli, E |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Popis: | Given a connected and locally compact Hausdorff space X with a good base K we assign, in a functorial way, a C(X)-algebra to any precosheaf of C*-algebras A defined over K. Afterwards we consider the representation theory and the Kasparov K-homology of A, and interpret them in terms, respectively, of the representation theory and the K-homology of the associated C(X)-algebra. When A is an observable net over the spacetime X in the sense of algebraic quantum field theory, this yields a geometric description of the recently discovered representations affected by the topology of X. A section with applications to subtrivial C*-bundles and quantum field theory has been added. To appear on Journal of Functional Analysis |
| Databáze: | OpenAIRE |
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