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The C*-algebra of Lie semidirect products of the form R('n) x(,alpha)R

Posted on:2004-07-23Degree:Ph.DType:Thesis
University:University of KansasCandidate:Arana, Luis SFull Text:PDF
GTID:2460390011973646Subject:Mathematics
Abstract/Summary:
In this thesis we study the C*-algebra of Lie semidirect products of the form Rn ×α R, for an arbitrary action α of R on Rn. In our main result, theorem [2.15], we explicitly construct a composition series for C* (Rn ×α R) and then estimate the stable rank and connected stable rank of C* (Rn ×α R) as a corollary to our main theorem.
Keywords/Search Tags:Rn ×
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