Translation invariant closed ∗ derivations

Frederick Michael Goodman

Vol. 97 (1981), No. 2, 403–413

DOI: 10.2140/pjm.1981.97.403

Abstract

If G is a locally compact group and δ is a left invariant closed ∗ derivation in C₀(G), then δ generates a C^∗ dynamics of C₀(G). If G is a Lie group, C_c^∞(G) is a core for δ. Similar results are obtained for coset spaces.

Mathematical Subject Classification 2000

Primary: 46L55

Secondary: 22D25

Milestones

Received: 9 June 1980

Published: 1 December 1981