The stable exotic Cuntz algebras are rank-3 graph algebras - Cloned

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Type
Abstract

The exotic Cuntz algebras E_n (for n>2 odd) are real C*-algebras whose complexification is the classical Cuntz algebra O_n.  However, until very recently, almost nothing has been known about E_n except its K-theory and the fact of its existence.  In joint work with J.L. Boersema and S. Browne, we have constructed E_n as the real C*-algebra of a rank-3 graph with involution. We also prove that this construction is optimal, as the K-theory of E_n precludes it arising from a rank-2 or rank-1 graph. Time permitting, we will also discuss which suspensions of R can be realized as the C*-algebras of directed graphs with involution; some of these suspensions were key ingredients in our construction of the rank-3 graph realizing E_n.

Description

ASUERAU C*-Seminar
Wednesday March 15, 2023
WXLR A307 
and Virtual via Zoom
1:30-2:45pm MST/AZ

Please email the organizer John Quigg quigg@asu.edu to be put on the email list if you would like to receive the link to the zoom seminar.

Speaker

Elizabeth Gillaspy
Associate Professor 
University of Montana

Location
WXLR A307and Virtual via Zoom