Cyclic cohomology and algebra extensions |
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| Authors: | Daniel Quillen |
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| Institution: | (1) Mathematical Institute, University of Oxford, 24-29 St Giles, OX1 3LB Oxford, UK |
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| Abstract: | We construct a spectral sequence to study cyclic cohomology for an extension A = R/I of algebras. When R is a free algebra we describe the cyclic cohomology of A in terms of traces defined on R or powers of I. Explicit cyclic cocycles representing the cyclic cohomology class belonging to the trace are constructed as analogues of Chern character and Chern-Simons forms.Dedicated to Alexander Grothendieck |
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| Keywords: | Cyclic cohomology algebra extension bar construction index map Chern character Chern-Simons form |
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