The Weyl bundle
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In this paper, the authors construct a bundle of elementary C ∗ -algebras over a space X, and prove that the Dixmier-Douady invariant of this bundle is zero.About:
This article is published in Journal of Functional Analysis.The article was published on 1982-11-01 and is currently open access. It has received 8 citations till now. The article focuses on the topics: Frame bundle & Normal bundle.read more
Citations
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$K$-theory and homotopies of 2-cocycles on transformation groups
TL;DR: In this article, Echterhoff, Luck, Phillips, and Walters showed that if a homotopy of 2-cocycles on a locally compact Hausdorff groupoid satisfies the Baum-Connes conjecture with coefficients, then it gives rise to an isomorphism of the theory groups of the reduced twisted groupoid.
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The Weyl bundle as a differentiable manifold
TL;DR: In this paper, the construction of an infinite dimensional differentiable manifold not modelled on any Banach space is proposed, and the continuuity of the Tichonov topology is proved.
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C*-Completions and the DFR-Algebra
Michael Forger,Daniel V. Paulino +1 more
TL;DR: In this paper, the authors present a general family of C*-algebras which includes, as a special case, the "quantum spacetime algebra" introduced by Doplicher, Fredenhagen and Roberts.
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$K$-theory and homotopies of 2-cocycles on group bundles
TL;DR: In this paper, the authors investigated the question of whether a homotopy of 2-cocycles on a locally compact Hausdorff groupoid induces an isomorphism of the theory groups of the twisted groupoid.
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The Weyl bundle as a differentiable manifold
TL;DR: In this paper, the construction of an infinite-dimensional differentiable manifold not modelled on any Banach space is proposed, and metric and differential structures of a Weyl algebra (P*pM[[]], ) and a weyl algebra bundle are presented.
References
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Book
Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
Armand Borel,Nolan R. Wallach +1 more
TL;DR: The Description for this book, Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups (AM-94) as discussed by the authors, can be found here.
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Quantenmechanik und Gruppentheorie
TL;DR: In this article, the authors discuss the physikalische Bedeutung der reprasentierenden Hermiteschen Form and the dynamical problem of the reinen falles.
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Champs continus d’espaces hilbertiens et de $C^\ast $ -algèbres
Jacques Dixmier,Adrien Douady +1 more
Abstract: © Bulletin de la S. M. F., 1963, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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The $C^*$-algebras of a free Boson field. I. Discussion of the basic facts
TL;DR: In this article, the authors give a systematic description of several C*-algebras associated with a free Boson field and give a discussion of several possible choices for the "free BosonC*"-algebra.