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Elke Enning

Karen Strung (Prag): Simple constructions from Hilbert C(X)-correspondences. Oberseminar C*-Algebren.

Tuesday, 12.11.2019 15:15 im Raum SRZ 216

Mathematik und Informatik

Given a Hilbert C*-correspondence over C(X), one can construct the associated Cuntz--Pimsner algebra. In the case that the correspondence is full, nonperiodic, and minimal, the resulting C*-algebra is simple and unital. An example of such a correspondence is obtained by taking the right Hilbert C(X)-module of continuous sections of a vector bundle over X and twisting the left multiplication by a minimal homeomorphism. As is the case of crossed products by minimal homeomorphisms, one can identify ``orbit-breaking" C*-subalgebras. In this talk I will discuss these Cuntz--Pimsner C*-algebras and their orbit-breaking subalgebras, their relationship to one another, and when they can be classified by Elliott invariants. This is joint work with Adamo, Archey, Forough, Georgescu, Jeong and Viola.



Angelegt am Thursday, 17.10.2019 10:47 von Elke Enning
Geändert am Monday, 11.11.2019 08:46 von Elke Enning
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