The aim of this thesis is to generalize the classical flow under a function construction to non-abelian W*-algebras. We obtain existence and uniqueness theorems for this generalization. As an application we show that the relationship between a continuous and a discrete decomposition of a properly infinite W*-algebra is that of generalized flow under a function. Since continuous decompositions are known to exist for any properly infinite W*-algebra, this leads to generalizations of Connes' results on discrete decomposition. / Science, Faculty of / Mathematics, Department of / Graduate
Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/21273 |
Date | January 1978 |
Creators | Phillips, William James |
Source Sets | University of British Columbia |
Language | English |
Detected Language | English |
Type | Text, Thesis/Dissertation |
Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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