L2-BETTI NUMBERS OF DISCRETE MEASURED GROUPOIDS
نویسندگان
چکیده
منابع مشابه
L2-betti Numbers of Discrete Measured Groupoids
There are notions of L2-Betti numbers for discrete groups (Cheeger–Gromov, Lück), for type II 1-factors (recent work of Connes-Shlyakhtenko) and for countable standard equivalence relations (Gaboriau). Whereas the first two are algebraically defined using Lück’s dimension theory, Gaboriau’s definition of the latter is inspired by the work of Cheeger and Gromov. In this work we give a definition...
متن کامل-betti Numbers of Discrete Measured Groupoids
There are notions of L2-Betti numbers for discrete groups (CheegerGromov, Lück), for type II1-factors (recent work of Connes-Shlyakhtenko) and for countable standard equivalence relations (Gaboriau). Whereas the first two are algebraically defined using Lück’s dimension theory, Gaboriau’s definition of the latter is inspired by the work of Cheeger and Gromov. In this work we give a definition o...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2005
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196705002748