Abstract
Connes has introduced the notion of cyclic cohomology as a replacement for de Rham cohomology in the non-commutative setting. Entire cyclic cohomology is an infinite dimensional version of cyclic cohomology. The technical complications of this subject are severe and consequently some of the fundamental properties that one would expect have until now been conjectural. We report on some recent results in this area, notably Morita and homotopy invariance. The details will appear elsewhere [10].
The work described here, except for 3.4, forms part of Khalkhali’s Ph.D. dissertation (Dalhousie University, 1991), written under the supervision of Fillmore.
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Dedicated to Moshe Livsic
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Fillmore, P., Khalkhali, M. (1994). Entire Cyclic Cohomology of Banach Algebras. In: Feintuch, A., Gohberg, I. (eds) Nonselfadjoint Operators and Related Topics. Operator Theory: Advances and Applications, vol 73. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8522-5_9
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DOI: https://doi.org/10.1007/978-3-0348-8522-5_9
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