Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 407

Partial actions of groups their globalisationsand $E$-unitary inverse semigroups

J. Kellendonk and M. Lawson

A group $G$ is said to act partially on a set $Y$ if there is a map $ heta colon :G ightarrow I(Y)$ into the semigroupof partial bijections on $X$ such that $ heta (g) heta (h) subseteq heta (gh)$ and $ heta (g)^{-1} = heta (g^{-1})$ for all $g,h in G$.We prove that each partial group action is the restriction of a universal global group action,and show that this result provides the key to understanding Munn's proof of the $P$-theorem.

---

Get a gzip-compressed PostScript copy of this preprint
preprint407.ps.gz (68 kB)

---