Weihua Li
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Weihua Li has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Don Hadwin
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
5 shared publications - Junhao Shen
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
3 shared publications - Wenjing Liu
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
2 shared publications Don Hadwin
University of New Hampshire
1 shared publicationQihui Li
1 shared publication
Latest Publications
- 7 January 2019
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 100 (1) , 119-128
A CHARACTERISATION OF TRACIALLY NUCLEAR C*-ALGEBRAS
We give two characterisations of tracially nuclear C*-algebras. The first is that the finite summand of the second dual is hyperfinite. The second is in terms of a variant of the weak* uniqueness property. The necessary condition holds for all tracially nuclear C*-algebras. When the algebra is separable, we prove the sufficiency.
- 7 January 2019
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 100 (1) , 119-128
A CHARACTERISATION OF TRACIALLY NUCLEAR C*-ALGEBRAS
We give two characterisations of tracially nuclear C*-algebras. The first is that the finite summand of the second dual is hyperfinite. The second is in terms of a variant of the weak* uniqueness property. The necessary condition holds for all tracially nuclear C*-algebras. When the algebra is separable, we prove the sufficiency.
- Open Access
A Characterization of Tracially Nuclear C*-algebras
We give two characterizations of tracially nuclear C*-algebras. The first is that the finite summand of the second dual is hyperfinite. The second is in terms of a variant of the weak* uniqueness property. The necessary condition holds for all tracially nuclear C*-algebras. When the algebra is separable, we prove the sufficiency.
Open AccessA Characterization of Tracially Nuclear C*-algebras
We give two characterizations of tracially nuclear C*-algebras. The first is that the finite summand of the second dual is hyperfinite. The second is in terms of a variant of the weak* uniqueness property. The necessary condition holds for all tracially nuclear C*-algebras. When the algebra is separable, we prove the sufficiency.
- Open Access
Topological Orbit Dimension of MF $C^*$-algebras
This paper is a continuation of our work on D. Voiculescu's topological free entropy dimension in unital C*-algebras. In this paper we first prove the topological free entropy dimension of a MF-nuclear and inner QD algebra is irrelevant to its generating family. Then we give the relation between the topological orbit dimension $K_{top}^2$ and the modified free orbit dimension$ K_2^2$ by using MF-traces. We also introduce a new invariant $K_{top}^3$ which is a modification of the topological orbit dimension $K_{top}^2$ when$ K_{top}^2$ is defined. As the applications of $K_{top}^3$, We prove that$ K_{top}^3(A)=0$ if A has property $ c^*-{\Gamma}$ and has no finite-dimensional representations. We also give the definition of property MF-c^*-{\Gamma}. We then conclude that, for the unital MF $ C^*$-algebra with no finite-dimensional representations, if A has property MF-c*-{\Gamma}, then $K_{top}^3(A)=0$.Open AccessTopological Orbit Dimension of MF $C^*$-algebras
This paper is a continuation of our work on D. Voiculescu's topological free entropy dimension in unital C*-algebras. In this paper we first prove the topological free entropy dimension of a MF-nuclear and inner QD algebra is irrelevant to its generating family. Then we give the relation between the topological orbit dimension $K_{top}^2$ and the modified free orbit dimension$ K_2^2$ by using MF-traces. We also introduce a new invariant $K_{top}^3$ which is a modification of the topological orbit dimension $K_{top}^2$ when$ K_{top}^2$ is defined. As the applications of $K_{top}^3$, We prove that$ K_{top}^3(A)=0$ if A has property $ c^*-{\Gamma}$ and has no finite-dimensional representations. We also give the definition of property MF-c^*-{\Gamma}. We then conclude that, for the unital MF $ C^*$-algebra with no finite-dimensional representations, if A has property MF-c*-{\Gamma}, then $K_{top}^3(A)=0$. - 27 June 2013
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 89 (1) , 60-69
THE SIMILARITY DEGREE OF SOME -ALGEBRAS
We define the class of weakly approximately divisible unital -algebra is at most five.
- 27 June 2013
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 89 (1) , 60-69
THE SIMILARITY DEGREE OF SOME -ALGEBRAS
We define the class of weakly approximately divisible unital -algebra is at most five.
- Open Access
The Similarity Degree of Some C*-algebras
We define the class of weakly approximately divisible unital C*-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any C*-algebra, and quotients. A nuclear C*-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations. We also show that Pisier's similarity degree of a weakly approximately divisible C*-algebra is at most 5.
Open AccessThe Similarity Degree of Some C*-algebras
We define the class of weakly approximately divisible unital C*-algebras and show that this class is closed under direct sums, direct limits, any tensor product with any C*-algebra, and quotients. A nuclear C*-algebra is weakly approximately divisible if and only if it has no finite-dimensional representations. We also show that Pisier's similarity degree of a weakly approximately divisible C*-algebra is at most 5.
- 28 July 2011
- Published by Springer Nature in Science China Mathematics
- Vol. 54 (11) , 2329-2346
A modified version of free orbit-dimension of von Neumann algebras
- 28 July 2011
- Published by Springer Nature in Science China Mathematics
- Vol. 54 (11) , 2329-2346
A modified version of free orbit-dimension of von Neumann algebras