7 citations · 10 across the 8 of their papers we have counts for
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Cuntz-Nica-Pimsner algebras associated to product systems over quasi-lattice ordered groupoids
Feifei Miao, Liguang Wang, Wei Yuan
We characterize Cuntz-Nica-Pimsner algebras for compactly aligned product systems over quasi-lattice ordered groupoids. We show that the full cross sectional -algebras of Fell…
Co-universal -algebras for product systems over finite aligned subcategories of groupoids
Feifei Miao, Liguang Wang, Wei Yuan
The product systems over left cancellative small categories are introduced and studied in this paper. We also introduce the notion of compactly aligned product systems over finite…
Wigner-Type Theorem on transition probability preserving maps in semifinite factors
Wenhua Qian, Liguang Wang, Wenming Wu +1
The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitar…
Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem
Qihui Li, Junhao Shen, Rui Shi +1
In the paper, we prove an analogue of the Kato-Rosenblum theorem in a semifinite von Neumann algebra. Let be a countably decomposable, properly infinite, semifinite v…
On a von Neumann algebra which is a complemented subspace
Erik Christensen, Liguang Wang
Let M be a von Neumann algebra of type II_1 which is also a complemented subspace of B(H). We establish an algebraic criterion, which ensures that M is an injective von Neumann alg…
Reduced free products of unital AH algebras and Blackadar and Kirchberg's MF algebras
Don Hadwin, Jiankui Li, Junhao Shen +1
In the paper, we prove that reduced free products of unital AH algebras with respect to given faithful tracial states, in the sense of Voiculescu, are Blackadar and Kirhcberg's MF…