Extremally Rich C*-crossed Products and the Cancellation Property

  title={Extremally Rich C*-crossed Products and the Cancellation Property},
  author={J Jeong and Hiroyuki Osaka},
A unital C*-algebra A is called extremally rich if the set of quasi-invertible elements A~' e\(A)A~ (= A") is dense in A, where ex(A) is the set of extreme points in the closed unit ball A, of A. In [7, 8] Brown and Pedersen introduced this notion and showed that A is extremally rich if and only if conv(ex(A)) = A\. Any unital simple C*-algebra with extremal richness is either purely infinite or has stable rank one (sr(A) = 1). In this note we investigate the extremal richness of C*-crossed… CONTINUE READING
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