Permutations of strongly self-absorbing $C^*$-algebras Academic Article uri icon


  • Page 1. International Journal of Mathematics Vol. 19, No. 9 (2008) 1137–1145 c World Scientific Publishing Company PERMUTATIONS OF STRONGLY SELF-ABSORBING C∗ -ALGEBRAS ILAN HIRSHBERG Department of Mathematics, Ben Gurion University of the Negev POB 653, Be'er Sheva 84105, Israel WILHELM WINTER School of Mathematical Sciences, University of Nottingham University Park, Nottingham NG7 2RD, UK Received 2 August 2007 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 infi- nite type, the Jiang–Su algebra, or is approximately divisible, then A⊗n ×α G has the corresponding property as well. Keywords: Strongly self-absorbing C∗-algebra; Rokhlin action; approximate divisibility …

publication date

  • January 1, 2008