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A smooth structure on a locally compact topological group
by
Tomasz Rybicki
University of Mining and Metallurgy, Cracow
It is shown that any connected locally compact topological group (or, more generally, any PL-group) carries a smooth structure. Here a smooth structure is determined by a set of smooth curves with some conditions specified. It is observed that the Lie algebra of a locally compact group is identified with the Lie algebra assigned to a smooth group structure. Further properties are exhibited.
Date received: April 10, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajc-09.