D. Beltiţă

activity

20052025

most citedQueer Poisson brackets

16 citations · 99 across the 59 of their papers we have counts for

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Showing math.OAShow all

22 papers · 1 filter

math.OA2025

On the $C^{*}$ -algebras of linear dynamical systems

Ingrid Beltita, Daniel Beltita

We verify the conjecture on continuous-trace subquotients for $C^{*}$ -algebras of nilpotent linear dynamical systems, where by linear dynamical system we mean a continuous action of…

math.OA2024

The $C^{*}$ -algebras of completely solvable Lie groups are solvable

Ingrid Beltita, Daniel Beltita

We prove that if a connected and simply connected Lie group $G$ admits connected closed normal subgroups $G_{1} \subseteq G_{2} \subseteq \dots \subseteq G_{m} = G$ with $dim G_{j} = j$ for $j…

math.OA2024

$C^{*}$ -rigidity of the Heisenberg group

Ingrid Beltita, Daniel Beltita

We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group $C^{*}$ -algebras. The main step of the proof is a ch…

math.OA2022

A note on ideal spaces of Mautner groups

Ingrid Beltita, Daniel Beltita

The Mautner groups are the 5-dimensional solvable Lie groups that have non-type-I factor representations. We show that their corresponding group $C^{*}$ -algebras are quasi-standard a…

math.OA2021★ 3 cited

On stably finiteness for $C^{*}$ -algebras of exponential solvable Lie groups

Ingrid Beltita, Daniel Beltita

We study the link between stably finiteness and stably projectionless-ness for $C^{*}$ -algebras of solvable Lie groups. We show that these two properties are equivalent if the dimens…

math.OA2020

Traces of $C^{*}$ -algebras of connected solvable groups

Ingrid Beltita, Daniel Beltita

We give an explicit description of the tracial state simplex of the $C^{*}$ -algebra $C^{*} (G)$ of an arbitrary connected, second countable, locally compact, solvable group $G$ . We show…

math.OA2020★ 4 cited

AF-embeddability for Lie groups with $T_{1}$ primitive ideal spaces

Ingrid Beltita, Daniel Beltita

We study simply connected Lie groups $G$ for which the hull-kernel topology of the primitive ideal space $Prim (G)$ of the group $C^{*}$ -algebra $C^{*} (G)$ is $T_{1}$ , that is, the…

math.OA2019★ 2 cited

Poisson geometrical aspects of the Tomita-Takesaki modular theory

Daniel Beltita, Anatol Odzijewicz

We investigate some genuine Poisson geometric objects in the modular theory of an arbitrary von Neumann algebra $M$ . Specifically, for any standard form realization $(\m…

math.OA2019

Linear dynamical systems of nilpotent Lie groups

Ingrid Beltita, Daniel Beltita

We study the topology of orbits of dynamical systems defined by finite-dimensional representations of nilpotent Lie groups. Thus, the following dichotomy is established: either the…

math.OA2018★ 2 cited

On the isomorphism problem for $C^{*}$ -algebras of nilpotent Lie groups

Ingrid Beltita, Daniel Beltita

We investigate to what extent a nilpotent Lie group is determined by its $C^{*}$ -algebra. We prove that, within the class of exponential Lie groups, direct products of Heisenberg gro…

math.OA2017

Covariant representations for possibly singular actions on C*-algebras

Daniel Beltita, Hendrik Grundling, Karl-Hermann Neeb

Singular actions on C*-algebras are automorphic group actions on C*-algebras, where the group need not be locally compact, or the action need not be strongly continuous. We study t…

math.OA2017

Topological aspects of group $C^{*}$ -algebras

Ingrid Beltita, Daniel Beltita

We discuss basic topological properties of unitary dual spaces of nilpotent Lie groups, using some ideas from operator algebras and their noncommutative dimension theory. The gener…

math.OA2017★ 1 cited

Quasidiagonality of $C^{*}$ -algebras of solvable Lie groups

Ingrid Beltita, Daniel Beltita

We characterize the solvable Lie groups of the form $R^{m} ⋊ R$ , whose $C^{*}$ -algebras are quasidiagonal. Using this result, we determine the connected simply…

math.OA2016

Polynomial representations of $C^{*}$ -algebras and their applications

Daniel Beltita, Karl-Hermann Neeb

This is a sequel to our paper on nonlinear completely positive maps and dilation theory for real involutive algebras, where we have reduced all representation classification proble…

math.OA2015★ 1 cited

On $C^{*}$ -algebras of exponential solvable Lie groups and their real ranks

Ingrid Beltita, Daniel Beltita

For any solvable Lie group whose exponential map $exp_{G} : g \to G$ is bijective, we prove that the real rank of $C^{*} (G)$ is equal to $\dim({\mathfrak g}/[{\mathfrak…

math.OA2014

Nonlinear completely positive maps and dilation theory for real involutive algebras

Daniel Beltita, Karl-Hermann Neeb

A real seminormed involutive algebra is a real associative algebra $A$ endowed with an involutive antiautomorphism $*$ and a submultiplicative seminorm $p$ with $p(a^*)…

math.OA2014★ 6 cited

Fourier transforms of $C^{*}$ -algebras of nilpotent Lie groups

Ingrid Beltita, Daniel Beltita, Jean Ludwig

For any nilpotent Lie group $G$ we provide a description of the image of its $C^{*}$ -algebra through its operator-valued Fourier transform. Specifically, we show that $C^{*} (G)$ admits…

math.OA2014

Cartan subalgebras of operator ideals

Daniel Beltita, Sasmita Patnaik, Gary Weiss

Denote by $U_{I} (H)$ the group of all unitary operators in $1 + I$ where $H$ is a separable infinite-dimensional complex Hilbert space…

math.OA2013★ 1 cited

Interplay between Algebraic Groups, Lie Algebras and Operator Ideals

Daniel Beltita, Sasmita Patnaik, Gary Weiss

In the framework of operator theory, we investigate a close Lie theoretic relationship between all operator ideals and certain classical groups of invertible operators that can be…

math.OA2009

Universal objects in categories of reproducing kernels

Daniel Beltita, Jose E. Gale

We continue our earlier investigation on generalized reproducing kernels, in connection with the complex geometry of $C^{*}$ - algebra representations, by looking at them as the objec…

math.OA2007★ 2 cited

Holomorphic geometric models for representations of $C^{*}$ -algebras

Daniel Beltita, Jose E. Gale

Representations of $C^{*}$ -algebras are realized on section spaces of holomorphic homogeneous vector bundles. The corresponding section spaces are investigated by means of a new noti…

math.OA2005

Amenability, completely bounded projections, dynamical systems and smooth orbits

Daniel Beltiţă, Bebe Prunaru

We describe a general method to construct completely bounded idempotent mappings on operator spaces, starting from amenable semigroups of completely bounded mappings. We then explo…

On the C∗-algebras of linear dynamical systems

The C∗-algebras of completely solvable Lie groups are solvable

C∗-rigidity of the Heisenberg group

A note on ideal spaces of Mautner groups

On stably finiteness for C∗-algebras of exponential solvable Lie groups

Traces of C∗-algebras of connected solvable groups

AF-embeddability for Lie groups with T1​ primitive ideal spaces

Poisson geometrical aspects of the Tomita-Takesaki modular theory

Linear dynamical systems of nilpotent Lie groups

On the isomorphism problem for C∗-algebras of nilpotent Lie groups

Covariant representations for possibly singular actions on C*-algebras

Topological aspects of group C∗-algebras

Quasidiagonality of C∗-algebras of solvable Lie groups

Polynomial representations of C∗-algebras and their applications

On C∗-algebras of exponential solvable Lie groups and their real ranks

Nonlinear completely positive maps and dilation theory for real involutive algebras

Fourier transforms of C∗-algebras of nilpotent Lie groups

Cartan subalgebras of operator ideals

Interplay between Algebraic Groups, Lie Algebras and Operator Ideals

Universal objects in categories of reproducing kernels

Holomorphic geometric models for representations of C∗-algebras

Amenability, completely bounded projections, dynamical systems and smooth orbits

On the $C^{*}$ -algebras of linear dynamical systems

The $C^{*}$ -algebras of completely solvable Lie groups are solvable

$C^{*}$ -rigidity of the Heisenberg group

On stably finiteness for $C^{*}$ -algebras of exponential solvable Lie groups

Traces of $C^{*}$ -algebras of connected solvable groups

AF-embeddability for Lie groups with $T_{1}$ primitive ideal spaces

On the isomorphism problem for $C^{*}$ -algebras of nilpotent Lie groups

Topological aspects of group $C^{*}$ -algebras

Quasidiagonality of $C^{*}$ -algebras of solvable Lie groups

Polynomial representations of $C^{*}$ -algebras and their applications

On $C^{*}$ -algebras of exponential solvable Lie groups and their real ranks

Fourier transforms of $C^{*}$ -algebras of nilpotent Lie groups

Holomorphic geometric models for representations of $C^{*}$ -algebras