arXiv subjects

Narutaka Ozawa

Publications and source records attributed to Narutaka Ozawa.

56 records · Page 4Linked to original sources

arXiv2002

Homotopy invariance of AF-embeddability

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.

math.OA↗

arXiv2000

Amenable actions and exactness for discrete groups

It is proved that a discrete group G is exact if and only if its left translation action on the Stone-Cech compactification is amenable. Combining this with an unpublished result of Gromov, we have the existence of non exact discrete groups.

math.OA↗