The general linear group as a complete invariant for C*-algebras

Authors

Thierry Giordano, University of Ottawa
Adam Sierakowski, University of WollongongFollow

RIS ID

110008

Publication Details

Giordano, T. & Sierakowski, A. (2016). The general linear group as a complete invariant for C*-algebras. Journal of Operator Theory, 76 (2), 249-269.

Abstract

In 1955 Dye proved that two von Neumann factors not of type I_2n are isomorphic if and only if their unitary groups are isomorphic as abstract groups. We consider an analogue for C*-algebras and show that the topological general linear group is a classifying invariant for simple unital AH-algebras of slow dimension growth and of real rank zero, and that the abstract general linear group is a classifying invariant for unital Kirchberg algebras in the UCT class.

Grant Number

ARC/DP120100389

Grant Number

ARC/DP150101598