Anomalous symmetries of classifiable C*-algebras

S Girón Pacheco - 2023 - ora.ox.ac.uk
This thesis studies the existence and uniqueness of $ G $-kernels on those C $^* $-algebras
classified by the Elliott programme. We develop two obstructions to the possible $ H^ 3 …

Almost elementary groupoid models for -algebras

X Ma, J Wu - arXiv preprint arXiv:2407.05251, 2024 - arxiv.org
The notion of almost elementariness for a locally compact Hausdorff\'{e} tale groupoid
$\mathcal {G} $ with a compact unit space was introduced by the authors as a sufficient …

On the K-theory of quantum projective spaces and of some AF algebras

F D'Andrea - arXiv preprint arXiv:2410.06242, 2024 - arxiv.org
We study embeddings $ E\to E\times E $ of a directed graph $ E $ that induce a*-
homomorphism $ A\otimes A\to A $, where $ A:= C^*(E)^{U (1)} $ is the core of the graph C …

Finite Dimensional Approximations of Extensions of C*-algebras and Absence of non-commutative zero Dimensionality for Group C*-algebras

I Moutzouris - 2024 - search.proquest.com
On this thesis, we study the validity of the Blackadar-Kirchberg conjecture for C*-algebras
that arise as extensions of separable, nuclear, quasidiagonal C*-algebras that satisfythe …