A Note on Rigidity for Crossed Product Von Neumann Algebras

Boundary Operator Algebras for Free Uniform Tree Lattices

Let X be a finite connected graph, each of whose vertices has degree at least three. The fundamental group Γ of X is a free group and acts on the universal covering tree ∆ and on its boundary ∂∆, endowed with a natural topology and Borel measure. The crossed product C∗-algebra C(∂∆)⋊Γ depends only on the rank of Γ and is a Cuntz-Krieger algebra whose structure is explicitly determined. The cros...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

Various topological forms of Von Neumann regularity in Banach algebras

We study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras and some other known Banach algebras with one another. In particular, we show that the class of topologically von Neumann regular Banach algebras contains all $C^*$-algebras, group algebras of compact abelian groups and ...

Nonlinear $*$-Lie higher derivations on factor von Neumann algebras

Let $mathcal M$ be a factor von Neumann algebra. It is shown that every nonlinear $*$-Lie higher derivation$D={phi_{n}}_{ninmathbb{N}}$ on $mathcal M$ is additive. In particular, if $mathcal M$ is infinite type $I$factor, a concrete characterization of $D$ is given.

Linear maps on von-Neumann algebras behaving like anti-derivations at orthogonal elements

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