Entire cyclic cohomology of Banach algebras and characters of θ-summable Fredholm modules
- 1 November 1988
- Vol. 1 (6) , 519-548
- https://doi.org/10.1007/bf00533785
Abstract
We define, using cocycles with infinite support in the fundamental (b, B) bicomplex of cyclic cohomology, a ℤ/2 graded cohomology of entire functions on a Banach algebra, which pairs with topological K-Theory. We then construct, using an algebra of operator-valued distributions with support in ℝ+, a canonical entire cocycle Ch(ℋ, D) on A for every θ-summable Fredholm module (ℋ, D) over a Banach algebra A.Keywords
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