TY - JOUR
AU - Pym, J. S.
AB - We investigate the algebraic structure of the spectrum Ω of L∞(G) for a locally compact group G. In contrast to the compact and discrete cases, when G has neither of these properties, Ω is never a semigroup. For σcompact G we determine exactly when the product of two elements of Ω. is in Ω, but we present an example which suggests that for general groups the underlying set theory may have an effect. Our principal tool, which has independent interest, is a topological structure theorem for the LB‐compactification of an arbitrary locally compact group.
TI - On the Spectrum of L∞(G)
JF - Journal of the London Mathematical Society
DO - 10.1112/jlms/s2-48.1.152
DA - 1993-08-01
UR - https://www.deepdyve.com/lp/wiley/on-the-spectrum-of-l-g-DL1KT52nga
SP - 152
EP - 166
VL - s2-48
IS - 1
DP - DeepDyve
ER -