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- W2809462066 abstract "We introduce an abstract theory of the principal symbol mapping for pseudodifferential operators extending the results of a preceding paper and providing a simple algebraic approach to the theory of pseudodifferential operators in settings important in noncommutative geometry. We provide a variant of Connes' trace theorem which applies to certain noncommutative settings, with a minimum of technical preliminaries. Our approach allows us to consider in a operators with non-smooth symbols, and we demonstrate the power of our approach by extending Connes' trace theorem to operators with non-smooth symbols in three examples: the Lie group $mathrm{SU}(2)$, noncommutative tori and Moyal planes." @default.
- W2809462066 created "2018-06-29" @default.
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- W2809462066 date "2018-06-19" @default.
- W2809462066 modified "2023-09-27" @default.
- W2809462066 title "A $C^*$-algebraic approach to the principal symbol II" @default.
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- W2809462066 hasPublicationYear "2018" @default.
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