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- Title
FROBENIUS--RIEFFEL NORMS ON FINITE-DIMENSIONAL C*-ALGEBRAS.
- Authors
AGUILAR, KONRAD; GARCIA, STEPHAN RAMON; KIM, ELENA
- Abstract
In 2014, Rieffel introduced norms on certain unital C*-algebras built from conditional expectations onto unital C*-subalgebras. We begin by showing that these norms generalize the Frobenius norm, and we provide explicit formulas for certain conditional expectations onto unital C*-subalgebras of finite-dimensional C*-algebras. This allows us compare these norms to the operator norm by finding explicit equivalence constants. In particular, we find equivalence constants for the standard finite-dimensional C*-subalgebras of the Effros-Shen algebras that vary continuously with respect to their given irrational parameters.
- Subjects
ALGEBRA; FROBENIUS algebras; ASSOCIATIVE algebras; MATHEMATICAL equivalence; MATHEMATICAL constants
- Publication
Operators & Matrices, 2022, Vol 16, Issue 1, p733
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2022-16-53