Triangular UHF algebras

Triangular Uhf Algebras over Arbitrary Fields

Let K be an arbitrary field. Let (qn) be a sequence of positive integers, and let there be given a family \f¥nm\n > m} of unital Kmonomorphisms *F„m. Tqm(K) —► Tq„(K) such that *¥np*¥pm = %im whenever m < n , where Tq„ (K) is the if-algebra of all q„ x q„ upper triangular matrices over K. A triangular UHF (TUHF) K-algebra is any Kalgebra that is A'-isomorphic to an algebraic inductive limit of ...

Nonseparable Uhf Algebras Ii: Classification

For every uncountable cardinal κ there are 2 nonisomorphic simple AF algebras of density character κ and 2 nonisomorphic hyperfinite II1 factors of density character κ. These estimates are maximal possible. All C*-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra.

Biflatness and Biprojectivitiy of Triangular Banach Algebras

Graded triangular algebras

Triangular Algebras and Ideals of Nest Algebras

Let %? be a separable Hubert space and !T c 3§(J%f) be an algebra of bounded operators. Say F is triangular if ^ n ^ * is a maximal abelian self-adjoint subalgebra (m.a.s.a.) of 3B{%?) and call this m.a.s.a. the diagonal of J7". A triangular algebra is maximal triangular if it is not properly contained in any triangular algebra. Triangular algebras of operators have been studied for 30 years no...