On the Stable Rank of Algebras of Operator Fields Over an N-Cube |
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| Authors: | Ng Ping Wong; Sudo Takahiro |
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| Institution: | Department of Mathematics, University of Toronto 100 St. George St., Room 4072, Toronto, Ontario, M5S 3G3, Canada png{at}math.toronto.edu
Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus Nishihara-cho, Okinawa, 903-0213, Japan sudo{at}math.u-ryukyu.ac.jp |
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| Abstract: | Let A be a unital maximal full algebra of operator fields withbase space 0, 1]k and fibre algebras  . It is shown in this paper that the stable rankof A is bounded above by the quantity  , where ‘sr’ means stable rank. Usingthe 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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