On the K-theory of algebraic Cuntz-Pimsner rings
Thibaut Lescure (LMNO)
TL;DR
This paper develops a long exact sequence for homotopy K-theory groups of algebraic Cuntz-Pimsner rings, extending Pimsner's original proof to this algebraic setting.
Contribution
It introduces a long exact sequence for homotopy K-theory of algebraic Cuntz-Pimsner rings, adapting existing proofs to a new algebraic context.
Findings
Established a long exact sequence for homotopy K-theory groups.
Extended Pimsner's proof to algebraic Cuntz-Pimsner rings.
Bridged formalism of Cuntz and Pimsner in algebraic K-theory.
Abstract
We establish a long exact sequence for the homotopy K-theory groups of the algebraic Cuntz-Pimsner rings introduced by Carlsen and Ortega [CO11] by adapting Pimsner's original proof [Pim97] to Cuntz's formalism.
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