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The Baum–Connes Assembly Map as a Boundary Map
Author(s) -
Mitchener Paul D.
Publication year - 2006
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609306018558
Subject(s) - corollary , mathematics , boundary (topology) , computation , sequence (biology) , subject (documents) , mathematics subject classification , algebra over a field , pure mathematics , algorithm , mathematical analysis , computer science , library science , biology , genetics
Recently, J. Roe proved by a direct computation that the Baum–Connes assembly map can be expressed as a boundary map associated to a certain short exact sequence of C*‐algebras. In this paper we deduce the same result as a corollary of the author's characterisation of the Baum–Connes assembly map. 2000 Mathematics Subject Classification 19K35, 55P42.