Noncommutative simplicial complexes and the Baum--Connes conjecture
نویسندگان
چکیده
منابع مشابه
Deformation Quantization and the Baum–Connes Conjecture
Alternative titles of this paper would have been “Index theory without index” or “The Baum–Connes conjecture without Baum.” In 1989, Rieffel introduced an analytic version of deformation quantization based on the use of continuous fields ofC∗-algebras. We review how a wide variety of examples of such quantizations can be understood on the basis of a single lemma involving amenable groupoids. Th...
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P. Baum and A. Connes have made a deep conjecture about the calculation of the K-theory of certain types of C∗-algebras [1, 2]. In particular, for a discrete group Γ they have conjectured the calculation of K∗(C r (Γ)), the Ktheory of the reduced C∗-algebra of Γ. So far, there is quite little evidence for this conjecture. For example, there is not a single property T group for which it is known...
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ژورنال
عنوان ژورنال: Geometric And Functional Analysis
سال: 2002
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s00039-002-8248-6