4 papers
The real and stable rank of tracially complete C*-algebras
Samuel Evington, Aaron Tikuisis
We prove that a factorial tracially complete C*-algebra with CPoU has real rank zero and stable rank one. This leads to an essentially complete description of the Cuntz semigroup o…
Nuclear C*-algebras: 99 problems
Christopher Schafhauser, Aaron Tikuisis, Stuart White
We present a collection of questions related to the structure and classification of nuclear C*-algebras.
Uniform property and the small boundary property
Grigoris Kopsacheilis, Hung-Chang Liao, Aaron Tikuisis +1
We prove that, for a free action of a countably infinite discrete amenable group on a compact metric space, the small boundary property is implied b…
Etale equivalence relations with certain prescribed torsion in their homology
Michael Francesco Ala, Hung-Chang Liao, Aaron Tikuisis
Given a non-cyclic simple dimension group D and a subgroup E of Q/Z, we produce a minimal étale equivalence relation R such that H_0(\R) is isomorphic to D \oplus E, where H_0(R)…