Cyclic Homology Theories for Topological Algebras, by Michael Puschnigg

In this paper we develop in an axiomatic way two cyclic cohomology theories for topological algebras. These new theories generalise Connes entire respectively asymptotic cyclic cohomology. One of the theories is shown to be a continuous homotopy functor and to be compatible with topological direct limits. Moreover it can be calculated by a natural spectral sequence.

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