Relations and trails in lattices of projections in W*-algebras

Kissin, Edward (2019) Relations and trails in lattices of projections in W*-algebras. Proceedings of the Edinburgh Mathematical Society, 62. pp. 1189-1215. ISSN 0013-0915

Abstract

The paper studies 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.

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