Extension of projection mappings

dc.contributor.author	De Jager, Pierre
dc.contributor.author	Conradie, Jurie
dc.contributor.researchID	28190459 - De Jager, Pierre
dc.date.accessioned	2019-08-26T13:53:04Z
dc.date.available	2019-08-26T13:53:04Z
dc.date.issued	2020
dc.description.abstract	We provide suﬃcient conditions for a map between projection lattices of semi-finite von Neumann algebras to be extended to a Jordan *-homomorphism. These conditions are suﬃciently general for the procedures developed herein to have numerous fundamental applications in the study of isometries and composition operators on quantum symmetric spaces. Furthermore, these techniques are of independent interest, since they provide a partial generalization of Dye’s theorem without the requirement that the initial von Neumann algebra be free of type I2 summands	en_US
dc.identifier.citation	De Jager, P. & Conradie, J. 2020. Extension of projection mappings. Quaestiones mathematicae, 43(8):1047-1064. [https://doi.org/10.2989/16073606.2019.1599460]	en_US
dc.identifier.issn	1607-3606
dc.identifier.issn	1727-933X (Online)
dc.identifier.uri	http://hdl.handle.net/10394/33261
dc.identifier.uri	https://www.tandfonline.com/doi/abs/10.2989/16073606.2019.1599460
dc.identifier.uri	https://doi.org/10.2989/16073606.2019.1599460
dc.language.iso	en	en_US
dc.publisher	Taylor & Francis	en_US
dc.subject	Extensions	en_US
dc.subject	Jordan homomorphisms	en_US
dc.subject	Semi-finite von Neumann algebras	en_US
dc.title	Extension of projection mappings	en_US
dc.type	Article	en_US

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