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APPROXIMATELY MULTIPLICATIVE DECOMPOSITIONS OF NUCLEAR MAPS.
- Source :
-
Bulletin of the Australian Mathematical Society . Apr2022, Vol. 105 Issue 2, p314-322. 9p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPOSITION (Language arts)
Subjects
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 105
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 155723055
- Full Text :
- https://doi.org/10.1017/S0004972721000575