Geometric & Functional Analysis GAFA

, Volume 13, Issue 1, pp 216–222

Homotopy invariance of AF-embeddability


  • N. Ozawa
    • Department of Mathematical Science, University of Tokyo, 153-8914, Japan, e-mail:
Original article

DOI: 10.1007/s000390300005

Cite this article as:
Ozawa, N. GAFA, Geom. funct. anal. (2003) 13: 216. doi:10.1007/s000390300005


We prove that AF-embeddability is a homotopy invariant in the class of separable exact C*-algebras. This work was inspired by Spielberg's work on homotopy invariance of AF-embeddability and Dadarlat's serial works on AF-embeddability of residually finite dimensional C*-algebras.

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© Birkhäuser Verlag, Basel 2002