3 problems

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Functoriality conjecture for the spectral sequence of real k-graph C*-algebras
Spectral-sequence functoriality conjecture. This map on the level of chain complexes induces a map on the level of spectral sequences that commutes with the differentials $d^r$ and…
Conjectureopenk-graphs real-c-algebras spectral-sequencesarXiv posted 2 days ago
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Borlak–Omland–Stammeier's factorization-independence conjecture for k-graph C*-algebras
Borlak–Omland–Stammeier's conjecture. The $K$ -theory of a $k$ -graph $C^*$ -algebra should be (largely) independent of the choice of factorization rules.
Conjectureopenk-graphs k-theory operator-algebrasarXiv posted 2 days ago
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The maximal abelian subalgebra conjecture for periodic elements in k-graph C*-algebras
Maximal abelian subalgebra conjecture. The subalgebra $M$ is a maximal abelian subalgebra of $C^*(\Lambda)$ .
Conjectureopenc-algebras k-graphs maximal-abelian-subalgebrasarXiv posted 2 days ago

Functoriality conjecture for the spectral sequence of real k-graph C*-algebras