Quasi homomorphismes,cohomologie cyclique et positivité |
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| Authors: | A Connes J Cuntz |
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| Institution: | (1) Institut des Hautes Etudes Scientifiques, 35, route de Chartres, F-91440 Bures-sur-Yvette, France;(2) Departement de Mathématiques, Université de Luminy, Route L. Lachamp, F-13288 Marseille, France |
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| Abstract: | We show that cyclic cohomology of an algebraA is obtained from traces with suitable domains on the algebraqA of the second author. WhenA is aC* algebra so isqA and the notion of positive trace makes sense. We hence get a notion of positivity for cyclic cocycles. We prove that a positive trace onqA defines a type I or II Fredholm module onA. |
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