Primitive 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 ...

Primitive Ideal Space of Ultragraph $C^*$-algebras

In this paper, we describe the primitive ideal space of the $C^*$-algebra $C^*(mathcal G)$  associated to the ultragraph $mathcal{G}$. We investigate the structure of the closed ideals of the quotient ultragraph $  C^* $-algebra  $C^*left(mathcal G/(H,S)right)$ which contain no nonzero set projections and then we characterize all non gauge-invariant primitive ideals. Our results generalize the ...

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