Finiteness and CAT(0) properties of diagram groups
نویسنده
چکیده
Any diagram group over a +nite semigroup presentation acts properly, freely, and cellularly by isometrices on a proper CAT(0) cubical complex. The existence of a proper, cellular action by isometries on a CAT(0) cubical complex has powerful consequences for the acting group G. One gets, for example, a proof that G satis+es the Baum–Connes conjecture. Any diagram group over a +nite presentation of a +nite semigroup is of type F∞. ? 2003 Elsevier Science Ltd. All rights reserved. MSC: 20F65; 20F67; 57M07; 20F06
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