Work

Differential embeddings into algebras of topological stable rank 1

Year: 2024

Type: article

Abstract: We identify a class of smooth Banach *-algebras that are differential subalgebras of commutative C*-algebras whose openness of multiplication is completely determined by the topological stable rank of the target C*-algebra. We then show that group algebras of Abelian groups of unbounded exponent fail to have uniformly open convolution. Finally, we completely characterize in the complex case (uniform) openness of multiplication in algebras of continuous functions in terms of the covering dimension.

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2024.108

Authors: Tomasz Kania, Natalia Maślany

Institutions: Jagiellonian University, Czech Academy of Sciences, Czech Academy of Sciences, Institute of Mathematics, Jan Kochanowski University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funder: Grantová Agentura České Republiky