We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
K-Theory and the Universal Coefficient Theorem for Simple Separable Exact C<sup>*</sup>-Algebras Not Isomorphic to Their Opposites.
- Authors
Phillips, N Christopher; Viola, Maria Grazia
- Abstract
We construct uncountably many mutually nonisomorphic simple separable stably finite unital exact C*-algebras that are not isomorphic to their opposite algebras. In particular, we prove that there are uncountably many possibilities for the |$K_0$| -group, the |$K_1$| -group, and the tracial state space of such an algebra. We show that these C*-algebras satisfy the Universal Coefficient Theorem, which is new even for the already known example of an exact C*-algebra nonisomorphic to its opposite algebra produced in an earlier work.
- Subjects
K-theory; C*-algebras; ALGEBRA; NONCOMMUTATIVE algebras
- Publication
IMRN: International Mathematics Research Notices, 2024, Vol 2024, Issue 4, p2701
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnac358