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Universal measurability and the Hochschild class of the Chern character

Universal measurability and the Hochschild class of the Chern character

We study notions of measurability for singular traces, and characterise universal measurability for operators in Dixmier ideals. This measurability result is then applied to improve on the various proofs of Connes’ identication of the Hochschild class of the Chern character of Dixmier summable spectral triples. The measurability results show that …