A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra
Abstract
We give an example of a dense, simple, unital Banach subalgebra A of the irrational rotation C*-algebra B, such that A is not a spectral subalgebra of B. This answers a question posed in T.W. Palmer's paper [1].
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.