Zobrazeno 1 - 4
of 4
pro vyhledávání: '"46L05, 46M07"'
Autor:
Ando, Hiroshi, Doucha, Michal
We revisit a well-known "surjectivity onto quotient" type lemma of Kirchberg on the central sequence algebra of a separable unital ${\rm C}^*$-algebra, and use it to prove a "surjectivity onto quotient" result on approximately inner automorphisms of
Externí odkaz:
http://arxiv.org/abs/2310.11922
We prove that the category of abstract Cuntz semigroups is bicomplete. As a consequence, the category admits products and ultraproducts. We further show that the scaled Cuntz semigroup of the (ultra)product of a family of C*-algebras agrees with the
Externí odkaz:
http://arxiv.org/abs/1905.03208
The only C*-algebras that admit elimination of quantifiers in continuous logic are $\mathbb{C}, \mathbb{C}^2$, $C($Cantor space$)$ and $M_2(\mathbb{C})$. We also prove that the theory of C*-algebras does not have model companion and show that the the
Externí odkaz:
http://arxiv.org/abs/1502.00573
We prove that the category of abstract Cuntz semigroups is bicomplete. As a consequence, the category admits products and ultraproducts. We further show that the scaled Cuntz semigroup of the (ultra)product of a family of C*-algebras agrees with the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b570a98c05afeafdaa18332fe793e3bb
http://arxiv.org/abs/1905.03208
http://arxiv.org/abs/1905.03208