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K-Theory and the Universal Coefficient Theorem for Simple Separable Exact C*-Algebras Not Isomorphic to Their Opposites.
- Source :
-
IMRN: International Mathematics Research Notices . Feb2024, Vol. 2024 Issue 4, p2701-2747. 47p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *K-theory
*C*-algebras
*ALGEBRA
*NONCOMMUTATIVE algebras
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2024
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 175718017
- Full Text :
- https://doi.org/10.1093/imrn/rnac358