The unitary group as a complete invariant for simple unital AF algebras.

dc.contributor.advisor	Giordano, Thierry,
dc.contributor.author	Booth, Andrew L.
dc.date.accessioned	2009-03-19T14:08:03Z
dc.date.available	2009-03-19T14:08:03Z
dc.date.created	1998
dc.date.issued	1998
dc.degree.level	Masters
dc.degree.name	M.Sc.
dc.description.abstract	In 1955, Henry Dye showed that factors with isomorphic unitary groups are in a certain sense isomorphic, provided they are not of type $I\sb{2n}.$ We establish a similar result for simple AF algebras, namely that the unitary group of a simple AF algebra is a complete invariant. Also, there appears to be an error in Dye's paper which allows us to strengthen his result so that it is valid for factors not of type $I\sb2.$
dc.format.extent	144 p.
dc.identifier.citation	Source: Masters Abstracts International, Volume: 37-04, page: 1221.
dc.identifier.isbn	9780612366657
dc.identifier.uri	http://hdl.handle.net/10393/4073
dc.identifier.uri	http://dx.doi.org/10.20381/ruor-13563
dc.publisher	University of Ottawa (Canada)
dc.subject.classification	Mathematics.
dc.title	The unitary group as a complete invariant for simple unital AF algebras.
dc.type	Thesis

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