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pro vyhledávání: '"Pacheco, Sergio Girón"'
We introduce the Cuntz-Thomsen picture of $\mathcal{C}$-equivariant Kasparov theory, denoted $\mathrm{KK}^\mathcal{C}$, for a unitary tensor category $\mathcal{C}$ with countably many isomorphism classes of simple objects. We use this description of
Externí odkaz:
http://arxiv.org/abs/2410.23935
We introduce a notion of equivariant $\mathcal{D}$-stability for actions of unitary tensor categories on C$^*$-algebras. We show that, when $\mathcal{D}$ is strongly self-absorbing, equivariant $\mathcal{D}$-stability of an action is equivalent to a
Externí odkaz:
http://arxiv.org/abs/2401.14238
Autor:
Pacheco, Sergio Girón, Neagu, Robert
We introduce a categorical approach to classifying actions of C$^*$-tensor categories $\mathcal{C}$ on C$^*$-algebras up to cocycle conjugacy. We show that, in this category, inductive limits exist and there is a natural notion of approximate unitary
Externí odkaz:
http://arxiv.org/abs/2310.18125
Autor:
Pacheco, Sergio Girón
We discuss a strategy for classifying anomalous actions through model action absorption. We use this to upgrade existing classification results for Rokhlin actions of finite groups on C$^*$-algebras, with further assuming a UHF-absorption condition,
Externí odkaz:
http://arxiv.org/abs/2310.11537
We study the $H^3$ invariant of a group homomorphism $\phi:G \rightarrow \mathrm{Out}(A)$, where $A$ is a classifiable C$^*$-algebra. We show the existence of an obstruction to possible $H^3$ invariants arising from considering the unitary algebraic
Externí odkaz:
http://arxiv.org/abs/2105.05587
Autor:
Easo, Philip, Garijo, Esperanza, Kaubrys, Sarunas, Nkansah, David, Vrabec, Martin, Watt, David, Wilson, Cameron, Bönicke, Christian, Evington, Samuel, Forough, Marzieh, Pacheco, Sergio Girón, Seaton, Nicholas, White, Stuart, Whittaker, Michael F., Zacharias, Joachim
Publikováno v:
J. Funct. Anal., 279 (2020) 108690
We prove that unital extensions of Kirchberg algebras by separable stable AF algebras have nuclear dimension one. The title follows.
Comment: Minor changes. Accepted Version. J. Funct. Anal., to appear
Comment: Minor changes. Accepted Version. J. Funct. Anal., to appear
Externí odkaz:
http://arxiv.org/abs/2003.06314