ΕΚΔΗΛΩΣΕΙΣ

ΓΕΝΙΚΟ ΣΕΜΙΝΑΡΙΟ - ΕΥΓΕΝΙΟΣ ΚΑΚΑΡΙΑΔΗΣ

Πέμπτη 19 Δεκεμβρίου 2019 Γ31
Γενικό Σεμινάριο - Ευγένιος Κακαριάδης

Ημερομηνία: Πέμπτη 19 Δεκεμβρίου 2019
Ώρα: 15:00
Αίθουσα: Γ31


Ομιλητής: Ευγένιος Κακαριάδης, Newcastle University, UK

Τίτλος: Equivalences of C*-correspondences and their impact on the associated Cuntz-Pimsner algebras

Περίληψη: Williams's celebrated Theorem asserts that conjugacy of edgeshifts coincides with strong shift equivalence (SSE), that is witha sequence of moves on the associated graphs. Williams alsointroduced a  weaker notion of shift equivalence (SE) andconjectured that SSE coincides  with SE. This question has been thedriving force in Symbolic Dynamics and was finally disproved byKim and Roush in the 1990s. In the Operator Algebras universe thecommunity has been studying the impact on the associated graphC*-algebras with the aim of completely classifying differentlevels of rigidity up to graph moves. In this talk we will presenthow these questions elevate to the realm of C*-correspondences andthe impact of SSE of SE  n their associated Cuntz-Pimsneralgebras, surveying previous work of Muhly-Solel (2000) andMuhly-Pask-Tombforde (2008). Our main tool is the Pimnser dilationof a C*-correspondence to its minimal essential Hilbert bimodule.This is joint work with Elias Katsoulis and also with GeorgeEleftherakis and Elias Katsoulis.