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w*-algebra

Proceedings of the Edinburgh Mathematical Society (1)

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Relations and trails in lattices of projections in W*-algebras
Part of
- Selfadjoint operator algebras
- Modular lattices, complemented lattices
Edward Kissin
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 4 / November 2019

Published online by Cambridge University Press:

23 August 2019, pp. 1189-1215
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This paper concerns HH-relations in the lattices P(M) of all projections of W*-algebras M. If M is a finite algebra, all these relations are generated by trails in P(M). If M is an infinite countably decomposable factor, they are either generated by trails or associated with them.