2009/02/17 by Archey, Dawn
#46L35 #46L40 (Secondary) #46L55 (Primary) 16S35 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.0902.2865
Let A be a stably finite simple unital C^*-algebra and suppose α is an action of a finite group G with the tracial Rokhlin property. Suppose further A has real rank zero and the order on projections over A is determined by traces. Then the crossed product C^*-algebra C^*(G,A, α) also has real rank zero and order on projections over A is determined by traces. Moreover, if A also has stable rank one, then C^*(G,A, α) also has stable rank one.