Zobrazeno 1 - 10
of 258
pro vyhledávání: '"FANG, XIAOCHUN"'
Autor:
Fang, Xiaochun, Wang, Zhongli
Let $A$ be an infinite-dimensional stably finite simple unital C*-algebra, let $G$ be a finite group, and let $\alpha\colon G\rightarrow \mathrm{Aut}(A)$ be an action of $G$ on $A$ which has the weak tracial Rokhlin property. We prove that if $A$ has
Externí odkaz:
http://arxiv.org/abs/2407.09867
Autor:
Fan, Qingzhai, Fang, Xiaochun
Let $A$ be an infinite-dimensional unital simple C*-algebra such that A has $\mu$-$oz{\rm LLP}$ property for any $\mu\in(0,1)$. Let $B\subseteq A$ be a centrally large subalgebra of $A$ such that $B$ has tracial topological rank zero. Then $A$ has tr
Externí odkaz:
http://arxiv.org/abs/2401.06138
Let $\Omega$ be a class of ${\rm C^*}$-algebras. In this paper, we study a class of not necessarily unital generalized tracial approximation ${\rm C^*}$-algebras, and the class of simple ${\rm C^*}$-algebras which can be generally tracially approxima
Externí odkaz:
http://arxiv.org/abs/2310.12548
In this paper, we construct large subalgebras of crossed product C*-algebras of noncommutative C*-dynamics from ideals. We apply our results to study locally trivial unital $C(X)$-algebras such as mapping tori.
Externí odkaz:
http://arxiv.org/abs/2310.05617
Autor:
Fang, Xiaochun, Wang, Zhongli
In this paper, we show that one of the conditions in the definition of weak tracial Rokhlin property for finite group actions on simple unital C*-algebras can be replaced by a seemingly weaker condition, or a seemingly stronger condition. As a coroll
Externí odkaz:
http://arxiv.org/abs/2305.18754
Autor:
Tian, Haotian, Fang, Xiaochun
In this paper, we give some properties of the fixed point algebra and the crossed product of a unital separable simple infinite dimensional C*-algebra by an action of a second-countable compact group with the tracial Rokhlin property with comparison
Externí odkaz:
http://arxiv.org/abs/2211.07397
Autor:
Fang, Xiaochun, Yang, Junqi
In this paper, we point out that the definition of weak tracial approximation can be improved and strengthened. An example of weak tracial approximation is also provided.
Externí odkaz:
http://arxiv.org/abs/2209.12246
In this paper, we introduce some classes of generalized tracial approximation ${\rm C^*}$-algebras. Consider the class of unital ${\rm C^*}$-algebras which are tracially $\mathcal{Z}$-absorbing (or have tracial nuclear dimension at most $n$, or have
Externí odkaz:
http://arxiv.org/abs/2203.05700
Autor:
Fan, Qingzhai, Fang, Xiaochun
In this paper, we introduce a class of generalized tracial approximation ${\rm C^*}$-algebras. Let $\mathcal{P}$ be a class of unital ${\rm C^*}$-algebras which have tracially $\mathcal{Z}$-absorbing (tracial nuclear dimension at most $n$, $\rm SP$ p
Externí odkaz:
http://arxiv.org/abs/2101.11921
Autor:
Fan, Qingzhai, Fang, Xiaochun
We show that the following properties of the C*-algebras in a class $\mathcal{P}$ are inherited by simple unital ${\rm C^*}$-algebras in the class of asymptotically tracially in $\mathcal{P}$: $(1)$ $\beta$-comparison (in the sense of Kirchberg and R
Externí odkaz:
http://arxiv.org/abs/2101.09881