activity
19992025
most citedDirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere

38 citations · 87 across the 29 of their papers we have counts for

collaborators

31 papers

math.OA2025

Function algebras on the n-dimensional quantum complex space

Ismael Cohen, Elmar Wagner

The paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the n-dimensional quantum complex space. To this end, the well-behaved Hilbert space…

math.QA2023

Closed quantum surfaces from the Toeplitz extension

Arley Sierra, Elmar Wagner

Closed quantum surfaces of any genus are defined as subalgebras of the Toeplitz algebra by mimicking the classical construction of identifying arcs on the boundary of the (quantum)…

math.QA2021

A Dolbeault-Dirac Spectral Triple for the -Irreducible Quantum Flag Manifold

Fredy Díaz García, Réamonn Ó Buachalla, Elmar Wagner

The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for…

math.FA2021

Continuous frames in Krein spaces

Diego Carrillo, Kevin Esmeral, Elmar Wagner

The purpose of this paper is to propose a definition of continuous frames of rank n for Krein spaces and to study their basic properties. Similarly to the Hilbert space case, conti…

math.QA2020

Duality for infinite-dimensional braided bialgebras and their (co)modules

Elmar Wagner

The paper presents a detailed description of duality for braided algebras, coalgebras, bialgebras, Hopf algebras and their modules and comodules in the infinite setting. Assuming t…

math.OA2020

A spectral triple for noncommutative compact surfaces

Fredy Díaz García, Elmar Wagner

A Dirac operator is presented that will yield a 1+ summable regular even spectral triple for all noncommutative compact surfaces defined as subalgebras of the Toeplitz algebra. Con…