Elementary approach to homogeneous C*-algebras
Operator Algebras
2017-05-26 v2
Abstract
A C*-algebra is n-homogeneous (where n is finite) if every its nonzero irreducible representation acts on an n-dimensional Hilbert space. An elementary proof of Fell's characterization of n-homogeneous C*-algebras (by means of their spectra) is presented. A spectral theorem and a functional calculus for finite systems of elements which generate n-homogeneous C*-algebras are proposed.
Keywords
Cite
@article{arxiv.1203.0857,
title = {Elementary approach to homogeneous C*-algebras},
author = {Piotr Niemiec},
journal= {arXiv preprint arXiv:1203.0857},
year = {2017}
}
Comments
22 pages