3 papers
math.OA2026
The stable uniqueness theorem for unitary tensor category equivariant KK-theory
Sergio Girón Pacheco, Kan Kitamura, Robert Neagu
We introduce the Cuntz-Thomsen picture of -equivariant Kasparov theory, denoted , for a unitary tensor category with countably m…
math.OA2025
Prime and semiprime Lie ideals in C*-algebras
Eusebio Gardella, Kan Kitamura, Hannes Thiel
Using the theory of Dixmier ideals developed in previous work, we show that every semiprime Lie ideal in a C*-algebra arises as the full normalizer subspace of a semiprime two-side…
math.OA2024
Semiprime ideals in C*-algebras
Eusebio Gardella, Kan Kitamura, Hannes Thiel
We show that a not necessarily closed ideal in a C*-algebra is semiprime if and only if it is idempotent, if and only if it is closed under square roots of positive elements. Among…