Pith. sign in

REVIEW 1 cited by

Stable rank for crossed products by actions of finite groups on C*-algebras

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1708.02665 v1 pith:QZCUXTVG submitted 2017-08-08 math.OA

classification math.OA
keywords finitealphastatetracialalgebraspaceaboveabsorbs
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

Let $G$ be a finite group, $A$ a unital separable finite simple nuclear C*-algebra, and $\alpha$ an action of $G$ on $A$. Assume that $A$ absorbs the Jiang-Su algebra $\mathcal{Z}$, the extremal boundary of the trace space of $A$ is compact and finite dimensional and that $\alpha$ fixes any tracial state of $A$. Then tsr$(A \rtimes_\alpha G) = 1$. In particular, when $A$ has a unique tracial state, we conclude it without above conditons on a tracial state space of $A$.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Cuntz semigroup and the radius of comparison of the crossed product by a finite group

    math.OA 2019-08 conditional novelty 8.0 of 10

    For finite group actions with the weak tracial Rokhlin property on simple stably finite C*-algebras, the fixed point algebra has radius of comparison at most that of A, and the crossed product at most one over the gro...

Pith tools