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A Construction of Approximately Finite-Dimensional Non-ITPFI Factors

Published online by Cambridge University Press:  20 November 2018

Alain Connes  and
E. J. Woods
Alain Connes
Affiliation:
Université de Paris VI
E. J. Woods
Affiliation:
Department of Mathematics and Statistics Jeffery Hall Queen's University Kingston, OntarioK7L 3N6
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A von Neumann algebra is said to be approximately finite-dimensional if it is of the form

where Mn⊆Mn+1 for each n and each Mn is a finite-dimensional matrix algebra. A factor is said to be ITPFI if it is of the form

Keywords

46L10approximately finite-dimensional factorsITPFI factors
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 227 - 230
Copyright
Copyright © Canadian Mathematical Society 1980

References

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