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CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS

Prelegent(ci)
RALF MEYER
Afiliacja
Georg-August Universität Göttingen, Germany
Język referatu
angielski
Termin
6 listopada 2024 17:15
Link
https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09
Informacje na temat wydarzenia
ZOOM
Tytuł w języku polskim
CORRESPONDENCES BETWEEN GRAPH C*-ALGEBRAS
Seminarium
North Atlantic Noncommutative Geometry Seminar

We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism and its inverse on a certain invariant to correspondences back and forth that are inverse to each other up to ideal-preserving homotopy. This implies a classification theorem for purely infinite graph C*-algebras up to stable isomorphism.