
We study unital groups with a distinguished family of compressions called a compression base. A motivating example is the partially ordered additive group of a von Neumann algebra with all Naimark compressions as the compression base.
8 pages
Quantum Physics, FOS: Physical sciences, Dilations, extensions, compressions of linear operators, compatibility, compressible group, Quantum Physics (quant-ph), Ordered abelian groups, Riesz groups, ordered linear spaces, normal sub-effect algebra, compression, compression base, unital group
Quantum Physics, FOS: Physical sciences, Dilations, extensions, compressions of linear operators, compatibility, compressible group, Quantum Physics (quant-ph), Ordered abelian groups, Riesz groups, ordered linear spaces, normal sub-effect algebra, compression, compression base, unital group
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