An application of Kirchberg's lemma on central sequence algebras to groups of approximately inner automorphisms
| Autor: | Ando, Hiroshi, Doucha, Michal |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 a separable unital ${\rm C}^*$-algebra of stable rank one, which we can partially upgrade also to the non-separable case. Comment: v2 The hypotheses of Theorems 1.2 and 2.4 are modified because of the gap discovered by Leonel Robert. Appendix C and D are added. 18 pages |
| Databáze: | arXiv |
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