Order automorphisms of the set of bounded observables

NC Automorphisms of nc-bounded domains

We establish rigidity (or uniqueness) theorems for nc automorphisms which are natural extensions of clasical results of H.~Cartan and are improvements of recent results. We apply our results to nc-domains consisting of unit balls of rectangular matrices.

Some Calkin algebras have outer automorphisms

We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, consistently, there are many outer automorphisms.

2-Local derivations and automorphisms on $B(H)$

The paper is devoted to 2-local derivations and 2-local automorphisms on the algebra $B(H)$ of all bounded linear operators on a Hilbert space $H.$ We prove that every 2-local derivation on $B(H)$ is a derivation. A similar result is obtained for automorphisms.

Linear maps on the space of all bounded observables preserving maximal deviation

In this paper we determine all the bijective linear maps on the space of bounded observables which preserve a fixed moment or the variance. Nonlinear versions of the corresponding results are also presented.

二维费米子量子元胞自动机是平凡的

Fermionic quantum cellular automata in 2d are trivial

本文证明二维费米子量子元胞自动机可分解为局部自同构与费米子平移，基于一维可逆子代数的Brauer平凡性。

有界几何度量空间的C*-刚性

C*-rigidity of bounded geometry metric spaces

本文证明了一致局部有限度量空间若Roe代数同构则粗等价，并得出其Roe代数外自同构群典范同构于空间粗等价群的结论。