TY - JOUR
T1 - Permutations of strongly self-absorbing C*-Algebras
AU - Hirshberg, Ilan
AU - Winter, Wilhelm
N1 - Funding Information:
Research partially supported by the Center for Advanced Studies in Mathematics at Ben Gurion University. The second named author was partially supported by the DFG (SFB 478). The first author would like to thank A. Besser, Y. Glasner and N. Gurevich for some helpful pointers.
PY - 2008/10/1
Y1 - 2008/10/1
N2 - Let G be a finite group acting on {1,...,n}. For any C*-algebra A, this defines an action α of G on A⊗n. We show that if A tensorially absorbs a UHF algebra of infinite type, the Jiang-Su algebra, or is approximately divisible, then A⊗n} ×α G has the corresponding property as well.
AB - Let G be a finite group acting on {1,...,n}. For any C*-algebra A, this defines an action α of G on A⊗n. We show that if A tensorially absorbs a UHF algebra of infinite type, the Jiang-Su algebra, or is approximately divisible, then A⊗n} ×α G has the corresponding property as well.
KW - -algebra
KW - Approximate divisibility.
KW - Rokhlin action
KW - Strongly self-absorbing C
UR - http://www.scopus.com/inward/record.url?scp=53349172726&partnerID=8YFLogxK
U2 - 10.1142/S0129167X08005011
DO - 10.1142/S0129167X08005011
M3 - Article
AN - SCOPUS:53349172726
SN - 0129-167X
VL - 19
SP - 1137
EP - 1145
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 9
ER -