Zobrazeno 1 - 10
of 1 118
pro vyhledávání: '"46L35"'
Autor:
Nawata, Norio
We say that a countable discrete group action $\alpha$ on a C$^*$-algebra $A$ is \textit{$\mathcal{W}$-absorbing} if there exist a C$^*$-algebra $B$ and an action $\beta$ on $B$ such that $\alpha$ is cocycle conjugate to $\beta\otimes \mathrm{id}_{\m
Externí odkaz:
http://arxiv.org/abs/2410.11213
In this paper, we construct a recursive subhomogeneous decomposition for the Cuntz--Pimsner algebras obtained from breaking the orbit of a minimal Hilbert $C(X)$-bimodule at a subset $Y \subset X$ with non-empty interior. This generalizes the known r
Externí odkaz:
http://arxiv.org/abs/2410.07424
We compute the nuclear dimension of extensions of C*-algebras involving commutative unital quotients and stable Kirchberg ideals. We identify the finite directed graphs whose C*-algebras are covered by this theorem.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/2409.12872
Autor:
Blackadar, Bruce, Rørdam, Mikael
We give a simple and elementary proof that the tracial state space of a unital C$^*$-algebra is a Choquet simplex, using the center-valued trace on a finite von Neumann algebra.
Comment: 12 pages. Two extra references added, and last section org
Comment: 12 pages. Two extra references added, and last section org
Externí odkaz:
http://arxiv.org/abs/2409.09644
We prove that a unital shift equivalence induces a graded isomorphism of Leavitt path algebras when the shift equivalence satisfies an alignment condition. This yields another step towards confirming the Graded Classification Conjecture. Our proof us
Externí odkaz:
http://arxiv.org/abs/2409.03950
Autor:
Gabe, James, Miller, Alistair
In order to circumvent a fundamental issue when studying densely defined traces on $\mathrm{C}^\ast$-algebras -- which we refer to as the Trace Question -- we initiate a systematic study of the set $T_{\mathbb R}(A)$ of self-adjoint traces on the Ped
Externí odkaz:
http://arxiv.org/abs/2409.03587
Autor:
Eilers, Søren, Zegers, Sophie Emma
The quantum lens spaces form a natural and well-studied class of noncommutative spaces which has been partially classified using algebraic invariants drawing on the developed classification theory of graph $C^*$-algebras. We introduce the problem of
Externí odkaz:
http://arxiv.org/abs/2408.17386
Autor:
Kettner, Aaron
We associate a $C^*$-algebra to a partial action of the integers acting on the base space of a vector bundle, using the framework of Cuntz--Pimsner algebras. We investigate the structure of the fixed point algebra under the canonical gauge action, an
Externí odkaz:
http://arxiv.org/abs/2408.10047
We show that shift equivalence of essential adjacency matrices coincides with gauge-equivariant homotopy equivalence of their stabilized graph C*-algebras. This provide the first equivalent formulation of shift equivalence of essential matrices in te
Externí odkaz:
http://arxiv.org/abs/2408.09740
Autor:
Eckhardt, Caleb, Wu, Jianchao
We show that the nuclear dimension of a (twisted) group C*-algebra of a virtually polycyclic group is finite. This prompts us to make a conjecture relating finite nuclear dimension of group C*-algebras and finite Hirsch length, which we then verify f
Externí odkaz:
http://arxiv.org/abs/2408.07223