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

VL - 19

SP - 1137

EP - 1145

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 9

ER -