B. Solel

activity

19972026

most citedDilations, inclusions of matrix convex sets, and completely positive maps

51 citations · 197 across the 34 of their papers we have counts for

collaborators

35 papers

math.OA2026

Twisted representations of product systems of $C^{*}$ -correspondences: Wold decomposition and unitary extensions

Baruch Solel, Mansi Suryawanshi

We investigate Wold-type decompositions and unitary extension problems for multivariable isometric covariant representations associated with product systems of $C^{*}$ -correspondence…

math.OA2024

Isometric Dilations for Representations of Product Systems

Sibaprasad Barik, M. Bhattacharjee, B. Solel

We discuss representations of product systems (of $W^{*}$ -correspondences) over the semigroup $Z_{+}^{n}$ and show that, under certain pureness and Szego positivity conditions,…

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.OA2020★ 4 cited

Dilations of unitary tuples

Malte Gerhold, Satish K. Pandey, Orr Shalit +1

We study the space of all $d$ -tuples of unitaries $u = (u_{1}, \dots, u_{d})$ using dilation theory and matrix ranges. Given two $d$ -tuples $u$ and $v$ generating C*-algebras $\mathcal A…

math.FA2020

Invariant subspaces for certain tuples of operators with applications to reproducing kernel correspondences

Baruch Solel

The techniques developed by Popescu, Muhly-Solel and Good for the study of algebras generated by weighted shifts are applied to generalize results of Sarkar and of Bhattacharjee-Es…