ON THE STABLE RANK OF ALGEBRAS OF OPERATOR FIELDS OVER AN $N$-CUBE
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Bibliographic record
Abstract
Let A be a unital maximal full algebra of operator fields with base space [0, 1]k and fibre algebras { A t } t ∈ [ 0 , 1 ] k . It is shown in this paper that the stable rank of A is bounded above by the quantity sup t ∈ [ 0 , 1 ] k sr ( C ( [ 0 , 1 ] k ) ⊗ A t ) , where ‘sr’ means stable rank. Using the above estimate, the stable ranks of the C*-algebras of the (possibly higher rank) discrete Heisenberg groups are computed. 2000 Mathematics Subject Classification 47L99.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
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