35 citations · 47 across the 13 of their papers we have counts for
Showing 2010Show all
2 papers · 1 filter
math-ph2010★ 1 cited
Subalgebras of orthomodular lattices
John Harding, Mirko Navara
Sachs showed that a Boolean algebra is determined by its lattice of subalgebras. We establish the corresponding result for orthomodular lattices. We show that an orthomodular latti…
math-ph2010★ 35 cited
Abelian subalgebras and the Jordan structure of a von Neumann algebra
Andreas Doering, John Harding
For von Neumann algebras M, N not isomorphic to C^2 and without type I_2 summands, we show that for an order-isomorphism f:AbSub(M)->AbSub(N) between the posets of abelian von Neum…