Výsledky vyhledávání - "Elmar Wagner"

Function algebras on the n-dimensional quantum complex space

Autor: Ismael Cohen, Elmar Wagner

Publikováno v: International Journal of Geometric Methods in Modern Physics. 20

This paper introduces a (universal) C*-algebra of continuous functions vanishing at infinity on the [Formula: see text]-dimensional quantum complex space. To this end, the well-behaved Hilbert space representations of the defining relations are class

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd564e5ca6c7d9a16c692dd9a9822cc5
https://doi.org/10.1142/s0219887823501165

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A philosophical look at mathematics and related sciences from the beginning to the future

Autor: Elmar Wagner

Publikováno v: Ciencia Nicolaita.

Landmarks in mathematical sciences and its philosophical consequences are presented in a generally understandable and partly speculative way by following the achievements of famous protagonists. From observing the past, a conjecture for the future is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::39d2452485c5779c89e832745cb0e27c
https://doi.org/10.35830/cn.vi83.578

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Continuous frames in Krein spaces

Autor: Elmar Wagner, Diego Carrillo, Kevin Esmeral

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, continuous frames are characterized by the analysis, the pre-frame and the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28d208cff898b9fcc5a70da14dcd669c

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A spectral triple for noncommutative compact surfaces

Autor: 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. Connes' conditions for noncommutative spin geometries are analyzed and it

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e62cb70b1e02318b505affd67e7a2a7
http://arxiv.org/abs/2002.10624

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Function algebras on a 2-dimensional quantum complex plane

Autor: Ismael Cohen, Elmar Wagner

The well-behaved representations of the coordinate algebra of a 2-dimensional quantum complex plane are classified and a C*-algebra is defined which can be viewed as the algebra of continuous functions on the 2-dimensional quantum complex plane vanis

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51c844527c3b2899d44419501d331e6d
http://arxiv.org/abs/1802.06144

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Dirac operator on a noncommutative Toeplitz torus

Autor: Elmar Wagner, Fredy Díaz García

Publikováno v: Trends in Mathematics ISBN: 9783030011550
Geometric Methods in Physics XXXVI-Workshop and Summer School, Białowieża, Poland, 2017
Trends in Mathematics
Trends in Mathematics-Geometric Methods in Physics XXXVI

We construct a 1+ summable regular even spectral triple for a noncommutative torus defined by a C*-subalgebra of the Toeplitz algebra.
to appear in Trends in Mathematics, Birkh\"auser

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1690587812a9477408a77764343c210d
http://arxiv.org/abs/1802.06124

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A noncommutative 2-sphere generated by the quantum complex plane

Autor: Ismael Cohen, Elmar Wagner

S. L. Woronowicz's theory of introducing C*-algebras generated by unbounded elements is applied to q-normal operators satisfying the defining relation of the quantum complex plane. The unique non-degenerate C*-algebra of bounded operators generated b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15f594a476931efb2b2bc91e407b9149

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Frames in Krein spaces arising from a non-regular $W$-metric

Autor: Kevin Esmeral, Elmar Wagner, Osmin Ferrer

Publikováno v: Banach J. Math. Anal. 9, no. 1 (2015), 1-16

A definition of frames in Krein spaces is stated and a complete characterization is given by comparing them to frames in the associated Hilbert space. The basic tools of frame theory are described in the formalism of Krein spaces. It is shown how to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db47bd6930ac583e44a71a263011fc12
https://doi.org/10.15352/bjma/09-1-1

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A residue formula for the fundamental Hochschild class on the Podleś sphere

Autor: Elmar Wagner, Ulrich Krähmer

Publikováno v: Journal of K-Theory. 12:257-271

The fundamental Hochschild cohomology class of the standard Podleś quantum sphere is expressed in terms of the spectral triple of Dąabrowski and Sitarz by means of a residue formula.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e921bb6a1d4f25d5a62a747fa109c72d
https://doi.org/10.1017/is013001019jkt199

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