Inverse-Closed Subalgebras of Noncommutative Tori
Karlheinz Gr\"ochenig, Michael Leinert
TL;DR
This paper systematically constructs inverse-closed Banach subalgebras within higher-dimensional non-commutative tori, expanding understanding of their algebraic structure and potential applications.
Contribution
It introduces a general method for constructing inverse-closed subalgebras in higher-dimensional non-commutative tori, a topic not extensively explored before.
Findings
Established a systematic construction method for inverse-closed subalgebras.
Extended the theory of non-commutative tori to higher dimensions.
Provided new insights into the algebraic properties of non-commutative tori.
Abstract
We give a systematic construction of inverse-closed (Banach) subalgebras in general higher-dimensional non-commutative tori
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Advanced Algebra and Geometry