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APPROXIMATELY MULTIPLICATIVE DECOMPOSITIONS OF NUCLEAR MAPS
Published online by Cambridge University Press: 26 July 2021
Abstract
We expand upon work from many hands on the decomposition of nuclear maps. Such maps can be characterised by their ability to be approximately written as the composition of maps to and from matrices. Under certain conditions (such as quasidiagonality), we can find a decomposition whose maps behave nicely, by preserving multiplication up to an arbitrary degree of accuracy and being constructed from order-zero maps (as in the definition of nuclear dimension). We investigate these conditions and relate them to a W*-analogue.
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- Research Article
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- © 2021 Australian Mathematical Publishing Association Inc.
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