We classify the unital embeddings of a unital separable nuclear $ C^* $-algebra satisfying
the universal coefficient theorem into a unital simple separable nuclear $ C^* $-algebra that …

It is shown that if A is a separable, exact C^*-algebra which satisfies the Universal
Coefficient Theorem (UCT) and has a faithful, amenable trace, then A admits a trace …

We introduce a new class of operator algebras--tracially complete C*-algebras--as a vehicle
for transferring ideas and results between C*-algebras and their tracial von Neumann …

A trace on a C*-algebra is amenable (resp. quasidiagonal) if it admits a net of completely
positive, contractive maps into matrix algebras which approximately preserve the trace and …

Let M be a properly infinite semifinite factor and n≥ 1. For each 1≤ i≤ n, let L pi, 1 (M) be a
Lorentz (pi, 1)-ideal of M, where p 1,…, pn are real numbers satisfying 1≤ p 1,…, pn<∞ …

In this paper, we provide a generalized version of Voiculescu's theorem for normal operators
by showing that, in a von Neumann algebra with separable pre-dual and a faithful, normal …

arXiv:2006.04485v3 [math.OA] 11 Jul 2023 Page 1 arXiv:2006.04485v3 [math.OA] 11 Jul 2023
CLASSIFYING MAPS INTO UNIFORM TRACIAL SEQUENCE ALGEBRAS JORGE …

This paper investigates Voiculescu's theorem on approximate equivalence in separable
properly infinite factors. We establish the norm-denseness of the set of all reducible …

In the current paper, we generalize the “compact operator” part of D. Voiculescu's non-
commmutative Weyl-von Neumann theorem on approximately unitary equivalence of unital∗ …

In this paper, we extend the “compact operator” part of Voiculescu's theorem on approximate
equivalence of unital∗-homomorphisms of an AF algebra when the range is in a countably …