Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Ng, Ping Wong"'
Spectral flow was first studied by Atiyah and Lusztig, and first appeared in print in the work of Atiyah-Patodi-Singer (APS). For a norm-continuous path of self-adjoint Fredholm operators in the multiplier algebra $\mathcal{M}(\mathcal{B})$ with $\ma
Externí odkaz:
http://arxiv.org/abs/2312.12061
Let $A$ be a separable amenable $C^*$-algebra and $B$ a non-unital and $\sigma$-unital simple $C^*$-algebra with continuous scale ($B$ need not be stable). We classify, up to unitary equivalence, all essential extensions of the form $0 \rightarrow B
Externí odkaz:
http://arxiv.org/abs/2307.15558
Autor:
Lin, Huaxin, Ng, Ping Wong
We classify all essential extensions of the form $$0 \rightarrow \W \rightarrow \D \rightarrow A \rightarrow 0$$ where $\W$ is the unique separable simple C*-algebra with a unique tracial state, with finite nuclear dimension and with $K_i(\W)=\{0\}$
Externí odkaz:
http://arxiv.org/abs/2006.00132
We investigate the closed convex hull of unitary orbits of selfadjoint elements in arbitrary unital C*-algebras. Using a notion of majorization against unbounded traces, a characterization of these closed convex hulls is obtained. Furthermore, for C*
Externí odkaz:
http://arxiv.org/abs/1608.04350
Autor:
Ng, Ping Wong, Skoufranis, Paul
Publikováno v:
Canadian Journal of Mathematics 65 (2017), no. 5, 1109-1142
In this paper, we characterize the closures of convex hulls of unitary orbits of self-adjoint operators in unital, separable, simple C$^*$-algebras with non-trivial tracial simplex, real rank zero, stable rank one, and strict comparison of projection
Externí odkaz:
http://arxiv.org/abs/1603.07059
Autor:
Ng, Ping Wong, Robert, Leonel
In a pure C*-algebra (i.e., one having suitable regularity properties in its Cuntz semigroup), any element on which all bounded traces vanish is a sum of 7 commutators.
Externí odkaz:
http://arxiv.org/abs/1504.00046
Autor:
Ng, Ping Wong, Robert, Leonel
In a simple C*-algebra with suitable regularity properties, any unitary or invertible element with de la Harpe--Skandalis determinant zero is a finite product of commutators.
Externí odkaz:
http://arxiv.org/abs/1408.4359
Autor:
Lin, Huaxin, Ng, Ping Wong
Let ${\cal Z}$ be the Jiang-Su algebra and ${\cal K}$ the C*-algebra of compact operators on an infinite dimensional separable Hilbert space. We prove that the corona algebra $M({\cal Z}\otimes {\cal K})/{\cal Z}\otimes {\cal K}$ has real rank zero.
Externí odkaz:
http://arxiv.org/abs/1302.4135
We first prove that in a sigma-finite von Neumann factor M, a positive element $a$ with properly infinite range projection R_a is a linear combination of projections with positive coefficients if and only if the essential norm ||a||_e with respect to
Externí odkaz:
http://arxiv.org/abs/1007.4679
Autor:
Ng, Ping Wong, Ruiz, Efren
We study the automorphism group of a unital, simple, $\mathcal{Z}$-stable $C^{*}$-algebra. In this paper, we generalize the results by the authors in \cite{pr_auto} to $\mathcal{Z}$-stable $C^{*}$-algebras $\mathfrak{A}$ such that $\mathfrak{A} \otim
Externí odkaz:
http://arxiv.org/abs/1003.2404