Zobrazeno 1 - 10
of 142
pro vyhledávání: '"46L05, 46L35"'
Autor:
Farah, Ilijas, Szabó, Gábor
Let $\mathcal D$ be a strongly self-absorbing $\mathrm{C}^*$-algebra. Given any separable $\mathrm{C}^*$-algebra $A$, our two main results assert the following. If $A$ is $\mathcal D$-stable, then the corona algebra of $A$ is $\mathcal D$-saturated,
Externí odkaz:
http://arxiv.org/abs/2411.02274
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:
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:
Jacelon, Bhishan
Precipitating a notion emerging from recent research, we formalise the study of a special class of compact quantum metric spaces. Abstractly, the additional requirement we impose on the underlying order unit spaces is the Riesz interpolation property
Externí odkaz:
http://arxiv.org/abs/2408.04368
Autor:
Hua, Shanshan
We provide a shorter new proof of the fact that Z-stable C*-algebras are K1-surjective using the R{\o}rdam-Winter picture of the Jiang-Su algebra Z. Consequently, we recapture the K-stability of Z-stable C*-algebras.
Comment: 7 pages, no figures
Comment: 7 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2406.11084
Autor:
Gabe, James, Neagu, Robert
We introduce a notion of real rank zero for inclusions of C$^*$-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description of the commutative case. We provide permanence and K-theoretic properti
Externí odkaz:
http://arxiv.org/abs/2312.03622
Autor:
Wei, Sihan, He, Zhuofeng
We generalize Gabor's notion of topological Rokhlin dimension of $\mathbb{Z}^k$-actions on compact metric space to a class of general discrete countable amenable group actions which involves the approximate subgroup structure. Then with this generali
Externí odkaz:
http://arxiv.org/abs/2311.05721
Autor:
Castillejos, Jorge, Neagu, Robert
Publikováno v:
J. Funct. Anal. 286(9):Paper No. 110368, 2024
We investigate $^*$-homomorphisms with nuclear dimension equal to zero. In the framework of classification of $^*$-homo-morphisms, we characterise such maps as those that can be approximately factorised through an AF-algebra. Along the way, we obtain
Externí odkaz:
http://arxiv.org/abs/2307.09053
Autor:
Ivanescu, Cristian, Kucerovsky, Dan
C*-algebras are rings, sometimes nonunital, obeying certain axioms that ensure a very well-behaved representation theory upon Hilbert space. Moreover, there are some well-known features of the representation theory leading to subtle questions about n
Externí odkaz:
http://arxiv.org/abs/2306.03943
Autor:
Rørdam, Mikael
In his study of the relative Dixmier property for inclusions of von Neumann algebras and of $C^*$-algebras, Popa considered a certain property of automorphisms on $C^*$-algebras, that we here call the strong averaging property. In this note we charac
Externí odkaz:
http://arxiv.org/abs/2211.03669