A direct proof of Z-stability for approximately homogeneous C*-algebras of bounded topological dimension

作者:Dadarlat Marius*; Phillips N Christopher; Toms Andrew S
来源:Bulletin of the London Mathematical Society, 2009, 41(4): 639-653.
DOI:10.1112/blms/bdp037

摘要

We prove that a unital simple approximately homogeneous C*-algebra with no dimension growth absorbs the Jiang-Su algebra tensorially without appealing to the classification theory of these algebras. Our main result continues to hold under the slightly weaker hypothesis of exponentially slow dimension growth.

  • 出版日期2009-8