## One Citation

Rokhlin dimension: duality, tracial properties, and crossed products

- MathematicsErgodic Theory and Dynamical Systems
- 2021

We study compact group actions with finite Rokhlin dimension, particularly in relation to crossed products. For example, we characterize the duals of such actions, generalizing previous partial…

## References

SHOWING 1-10 OF 30 REFERENCES

A characterization of semiprojectivity for subhomogeneous C*-algebras

- Mathematics
- 2014

We study semiprojective, subhomogeneous C*-algebras and give a detailed description of their structure. In particular, we find two characterizations of semiprojectivity for subhomogeneous…

Subalgebras of finite codimension in semiprojective C*-algebras

- Mathematics
- 2014

We show that semiprojectivity of a C*-algebra is preserved when passing to C*-subalgebras of finite codimension. In particular, any pullback of two semiprojective C*-algebras over a…

Inductive limits of projective $C$*-algebras

- MathematicsJournal of Noncommutative Geometry
- 2020

We show that a separable C*-algebra is an inductive limits of projective C*-algebras if and only if it has trivial shape, that is, if it is shape equivalent to the zero C*-algebra. In particular,…

Noncommutative semialgebraic sets and associated lifting problems

- Mathematics
- 2009

We solve a class of lifting problems involving approximate polynomial relations (soft polynomial relations). Various associated C*-algebras are therefore projective. The technical lemma we need is a…

Semiprojectivity for Kirchberg algebras

- Mathematics
- 2015

We show that a Kirchberg algebra is semiprojective if and only if it is KK-semiprojective. In particular, this shows that a Kirchberg algebra in the UCT-class is semiprojective if and only if its…

On the asymptotic homotopy type of inductive limitC*-algebras

- Mathematics
- 1993

Let X, Y be compact, connected, metrisable spaces with base points Xo, Yo and let denote the compact operators. It is shown that Co(X\xo)| is asymptotically homotopic (or shape equivalent) to…

SHAPE THEORY AND ASYMPTOTIC MORPHISMS FOR C*-ALGEBRAS

- Mathematics
- 2010

In this paper we relate two topological invariants of a separable C*-algebras. The first is the shape invariant first studied by Effros and Kaminker [EK] and then developed further by Blackadar [B].…

Equivalence of the C*-Algebras qℂ and C0(ℝ2) in the Asymptotic Category

- Mathematics
- 2005

The results of Kasparov, Connes, Higson, and Loring imply the coincidence of the functors [[qℂ ⊗ K, B ⊗ K]] = [[C0(ℝ2) ⊗ K, B ⊗ K]] for any C*-algebra B; here[[A, B]] denotes the set of homotopy…

Classification of Nuclear, Simple C*-algebras

- Mathematics
- 2002

The possibility that nuclear (or amenable) C*-algebras should be classified up to isomorphism by their K-theory and related invariants was raised in an article by Elliott [48] (written in 1989) in…