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1 results

Equivariant $\mathcal {O}_{2}$-absorption theorem for exact groups
Part of
- Selfadjoint operator algebras
Yuhei Suzuki
Journal:

Compositio Mathematica / Volume 157 / Issue 7 / July 2021

Published online by Cambridge University Press:

17 June 2021, pp. 1492-1506

Print publication:

July 2021
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We show that, up to strong cocycle conjugacy, every countable exact group admits a unique equivariantly $\mathcal {O}_{2}$-absorbing, pointwise outer action on the Cuntz algebra $\mathcal {O}_{2}$ with the quasi-central approximation property (QAP). In particular, we establish the equivariant analogue of the Kirchberg $\mathcal {O}_{2}$-absorption theorem for these groups.