Abstract
It is shown that the [JLO] entire cocycle of a finitely summable unbounded Fredholm module can be retracted to a periodic cocycle. Moreover, the retracted cocycle admits a zero-temperature limit, which provides the extension of the transgressed cocycle of [CM1] from the invertible case to the general case.
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Communicated by A. Jaffe
Dedicated to Huzihiro Araki
Research supported in part by NSF Grant DMS-9101557
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Connes, A., Moscovici, H. Transgression and the Chern character of finite-dimensional K-cycles. Commun.Math. Phys. 155, 103–122 (1993). https://doi.org/10.1007/BF02100052
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DOI: https://doi.org/10.1007/BF02100052