Jiajie Hua

activity

20092021

most citedThe Rokhlin Property for Automorphisms on Simple C*-Algebras

2 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing math.OAShow all

6 papers · 1 filter

math.OA2021★ 1 cited

Higher dimensional Bott classes and the stability of rotation relations

Sayan Chakraborty, Jiajie Hua

Let $Θ = (θ_{j k})_{n \times n}$ be a real skew-symmetric $n \times n$ matrix for $n \geq 2$ . Under some mild non-integrality conditions on $Θ,$ we construct Rieffel-type projections as…

math.OA2018

Stability of rotation relations in $C^{*}$ -algebras

Jiajie Hua, Qingyun Wang

Let $Θ = (θ_{j, k})_{3 \times 3}$ be a non-degenerate real skew-symmetric $3 \times 3$ matrix, where $θ_{j, k} \in [0, 1) .$ For any $ε > 0$ , we prove that there exists $δ > 0$ satisf…

math.OA2013

Rotation algebras and Exel trace formula

Jiajie Hua, Huaxin Lin

We found that if $u$ and $v$ are any two unitaries in a unital $C^{*}$ -algebra with $∥ uv - v u ∥ < 2$ such that $uv u^{*} v^{*}$ commutes with $u$ and $v,$ then the \SCA\, $A_{u, v}$ generated…

math.OA2009★ 2 cited

The Rokhlin Property for Automorphisms on Simple C*-Algebras

Jiajie Hua

Let $A$ be the class of unital separable simple amenable $C$ *-algebras $A$ which satisfy the Universal Coefficient Theorem for which $A \otimes M_{P}$ has tracial…

math.OA2009

The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras

Jiajie Hua

Let A be a unital AF-algebra (simple or non-simple) and let αbe an automorphism of A. Suppose that αhas certain Rokhlin property and A is α-simple. Suppose also that there is an in…

math.OA2009

Crossed products by α-simple automorphisms on C*-algebras C(X,A)

Jiajie Hua

Let $X$ be a Cantor set, and let $A$ be a unital separable simple amenable $C$ *-algebra with tracial rank zero which satisfies the Universal Coefficient Theorem, we use $C (X, A)$ to…

Higher dimensional Bott classes and the stability of rotation relations

Stability of rotation relations in C∗-algebras

Rotation algebras and Exel trace formula

The Rokhlin Property for Automorphisms on Simple C*-Algebras

The Tracial Rokhlin Property for Automorphisms on Non-Simple C*-algebras

Crossed products by α-simple automorphisms on C*-algebras C(X,A)

Stability of rotation relations in $C^{*}$ -algebras