On the Stable Rank of Algebras of Operator Fields over an N-cube
نویسندگان
چکیده
Let A be a unital maximal full algebra of operator fields with base space [0, 1] and fibre algebras {At}t∈[0,1]k . We show that the stable rank of A is bounded above by the quantity supt∈[0,1]ksr(C([0, 1] )⊗ At). Here the symbol “sr” means stable rank. Using the above estimate, we compute the stable ranks of the C-algebras of the (possibly higher rank) discrete Heisenberg groups.
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