On the stable rank of algebras of operator fields over N-cubes

Details On the stable rank of algebras of operator fields over N-cubes On the stable rank of algebras of operator fields over N-cubes

2002-03-12

arxiv.org/abs/math/0203115v1

Mathematics

Operator Algebras

5 pages, amstex file

Scientific paper

Let A be a unital maximal full algebra of operator fields with base space the
k-cube [0,1]^k and fibre algebras, say, {A_t}_{t \in [0,1]^k}. Then the stable
rank of A is bounded above by the supremum of the stable ranks sr(C([0,1]^k)
\otimes A_t) for t \in [0,1]^k. Using this estimate, we compute the stable
ranks of the universal C^*-algebras of the discrete Heisenberg groups.

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