On the stable rank of algebras of operator fields over metric spaces
| Autor: | Takahiro Sudo, Ping Wong Ng |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Pure mathematics
47L99 Bass stable rank Discrete nilpotent group Rank (differential topology) Space (mathematics) C*-algebra Algebra of operator fields FOS: Mathematics Finitely-generated abelian group Operator Algebras (math.OA) Stable rank Mathematics Discrete mathematics Continuous field Two-step Operator (physics) Unital Mathematics - Operator Algebras Universal C*-algebra Nonstable K-theory Representations Metric space Operator algebra Nilpotent group Analysis |
| Zdroj: | Journal of Functional Analysis. 220(1):228-236 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2004.10.020 |
| Popis: | Let G be a finitely generated, torsion-free, two-step nilpotent group. Let C^*(G) be the universal C^*-algebra of G. We show that acsr(C^*(G)) = acsr(C((\hat{G})_1)), where for a unital C^*-algebra A, acsr(A) is the absolute connected stable rank of A, and (\hat{G})_1 is the space of one-dimensional representations of G. For the case of stable rank, we have close results. In the process, we give a stable rank estimate for maximal full algebras of operator fields over a metric space. 6 pages, amstex file |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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