Measurable operators and the asymptotics of heat kernels and zeta functions |
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| Authors: | Alan Carey Fedor Sukochev |
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| Institution: | 1. Mathematical Sciences Institute, Australian National University, Canberra ACT, 0200, Australia;2. School of Mathematics and Statistics, University of New South Wales, Sydney 2052, Australia |
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| Abstract: | In this note we answer some questions inspired by the introduction in Connes (1988, 1994) 6], 7] of the notion of measurable operators using Dixmier traces. These questions concern the relationship of measurability to the asymptotics of ζ-functions and heat kernels. The answers have remained elusive for some 15 years. |
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