L. Helmer

activity

20142021

collaborators

4 papers

math.OA2021

Weighted Cuntz-Krieger Algebras

Leonid Helmer, Baruch Solel

Let $E$ be a finite directed graph with no sources or sinks and write $X_{E}$ for the graph correspondence. We study the $C^{*}$ -algebra $C^{*} (E, Z) := T (X_{E}, Z) / K$ wher…

math.OA2020

Weighted Cuntz Algebras

Leonid Helmer, Baruch Solel

We study the $C^{*}$ -algebra $T / K$ where $T$ is the $C^{*}$ -algebra generated by $d$ weighted shifts on the Fock space of $C^{d}$ , $\mathcal{F}(\ma…

math.OA2015

Generalized Inner-Outer Factorization in non commutative Hardy Algebras

Leonid Helmer

Let $H^{\infty} (E)$ be a non commutative Hardy algebra, associated with a $W^{*}$ -correspondence $E$ . In this paper we construct factorizations of inner-outer type of the elements of…

math.OA2014

Reflexivity of non commutative Hardy Algebras

Leonid Helmer

Let $H^{\infty} (E)$ be a non commutative Hardy algebra, associated with a $W^{*}$ -correspondence $E$ . These algebras were introduced in 2004, ~\cite{MuS3}, by P. Muhly and B. Solel,…