Back to Search Start Over

Corrigendum to "K-theoretic Characterization of C*-algebras with Approximately Inner Flip".

Authors :
Enders, Dominic
Schemaitat, André
Tikuisis, Aaron
Source :
IMRN: International Mathematics Research Notices. May2024, Vol. 2024 Issue 9, p7680-7699. 20p.
Publication Year :
2024

Abstract

An error in the original paper is identified and corrected. The |$\textrm {C}^{\ast }$| -algebras with approximately inner flip, which satisfy the UCT, are identified (and turn out to be fewer than what is claimed in the original paper). The action of the flip map on K-theory turns out to be more subtle, involving a minus sign in certain components. To this end, we introduce new geometric resolutions for |$\textrm {C}^{\ast }$| -algebras, which do not involve index shifts in K-theory and thus allow for a more explicit description of the quotient map in the Künneth formula for tensor products. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TENSOR products
*K-theory

Details

Language :
English
ISSN :
10737928
Volume :
2024
Issue :
9
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
177084759
Full Text :
https://doi.org/10.1093/imrn/rnad295