Geodesic
Finite Lattices of Projections in Factors and Approximately Finite C*-Algebras
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 116-125

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A unique factorisation theorem is obtained for tensor products of finite lattices of commuting projections in a factor. This leads to unique tensor product factorisations for reflexive subalgebras of the hyperfinite II1 factor which have irreducible finite commutative invariant projection lattices. It is shown that the finite refinement property fails for simple approximately finite C*-algebras, and this implies that there is no analogous general result for finite lattice subalgebras in this context.
DOI : 10.4153/CMB-1992-017-9
Mots-clés : 47D25, 46L05. 
Power, S. C. Finite Lattices of Projections in Factors and Approximately Finite C*-Algebras. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 116-125. doi: 10.4153/CMB-1992-017-9
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