Real rank of some multiplier algebras
Journal article, 2025

We show that there exists a separable, nuclear C*-algebra with real rank zero and trivial K-theory such that its multiplier and corona algebra have real rank one. This disproves two conjectures of Brown and Pedersen. We also compute the real rank of the stable multiplier algebra and the stable corona algebra of countably decomposable type I∞ and type II∞ factors. Together with results of Zhang this completes the computation of the real rank for stable multiplier and corona algebras of countably decomposable factors.

Author

Hannes Thiel

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Israel Journal of Mathematics

0021-2172 (ISSN) 15658511 (eISSN)

Vol. In Press -1 34

Subject Categories (SSIF 2025)

Mathematical Analysis

DOI

10.1007/s11856-025-2864-5

More information

Latest update

12/16/2025