Kadison–Singer algebras: Hyperfinite case

@article{Ge2010KadisonSingerAH,
  title={Kadison–Singer algebras: Hyperfinite case},
  author={L. Ge and Wei Yuan},
  journal={Proceedings of the National Academy of Sciences},
  year={2010},
  volume={107},
  pages={1838 - 1843}
}
  • L. Ge, Wei Yuan
  • Published 2010
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences
A new class of operator algebras, Kadison–Singer algebras (KS-algebras), is introduced. These highly noncommutative, non-self-adjoint algebras generalize triangular matrix algebras. They are determined by certain minimally generating lattices of projections in the von Neumann algebras corresponding to the commutant of the diagonals of the KS-algebras. A new invariant for the lattices is introduced to classify these algebras. 
Kadison–Singer algebras, II: General case
  • L. Ge, Wei Yuan
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences
  • 2010
On strong Kadison-Singer algebras
New Kadison-Singer Lattices in Matrix Algebras *
Cohomology of a class of Kadison-Singer algebras
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