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On Maximal Injective Subalgebras of Factors
  • L. Ge
  • Mathematics
  • 1 March 1996
Ultraproducts of C*-algebras
We initiate a general study of ultraproducts of C*-algebras, including topics on representations, homomorphisms, isomorphisms, positive linear maps and their ultraproducts. We partially settle aExpand
On free entropy dimension of finite von Neumann algebras
Abstract. ((Without Abstract)).
Applications of free entropy to finite von Neumann algebras
<abstract abstract-type="TeX"><p>We apply Voiculescu's free entropy to show that free group factors do not possess a simple maximal abelian self-adjoint subalgebra, hence answering a longstandingExpand
Kadison–Singer algebras: Hyperfinite case
  • L. Ge, Wei Yuan
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences
  • 14 January 2010
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 areExpand
We prove that the ultrapower and the central sequence algebra of the hyperfinite II1 factor are prime factors which implies that the central sequence algebra of the tensor product of two factors mayExpand
Operator Algebras and Operator Theory: International Conference on Operator Algebras and Operator Theory, July 4-9, 1997, Shanghai, China
Operator means and spectral decomposability in ergodic theory and Hilbert space operator theory by E. Berkson and T. A. Gillespie Some remarks on Toeplitz operators on discrete groups by X. Chen andExpand