The prime spectrum of an -algebra
arXiv:2206.01001 · doi:10.1090/proc/16802
Abstract
We prove that the lattice of ideals of an arbitrary -algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. the set of prime ideals) of -algebras and characterize prime ideals in topological terms.
13 pages. The statement of Theorem 6 has been corrected. Postprint version