Fubini theorem in noncommutative geometry

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• 作者：F. Sukochev <sup>f.sukochev@unsw.edu.ausup> ; D. Zanin<sup> ; sup><sup>d.zanin@unsw.edu.ausup>
• 关键词：Fubini theorem ; Singular traces
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：272
• 期：3
• 页码：1230-1264
• 全文大小：512 K
• 卷排序：272

文摘

We discuss the Fubini formula in Alain Connes' noncommutative geometry. We present a sufficient condition on spectral triples for which a Fubini formula holds true. The condition is natural and related to heat semigroup asymptotics. We provide examples of spectral triples for which the Fubini formula fails.