About: Farrell–Jones conjecture     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Speculation105891783, within Data Space : dbpedia.org associated with source document(s)
QRcode icon
http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FFarrell%E2%80%93Jones_conjecture

In mathematics, the Farrell–Jones conjecture, named after F. Thomas Farrell and Lowell E. Jones, states that certain assembly maps are isomorphisms. These maps are given as certain homomorphisms. The motivation is the interest in the target of the assembly maps; this may be, for instance, the algebraic K-theory of a group ring or the L-theory of a group ring , where G is some group. The Baum–Connes conjecture formulates a similar statement, for the topological K-theory of reduced group -algebras .

AttributesValues
rdf:type
rdfs:label
  • Farrell–Jones conjecture (en)
  • ボスト予想 (ja)
rdfs:comment
  • ボスト予想（en:Bost conjecture）は、1995年にフランスの数学者、ジャン＝ブノワ・ボスが提起した予想で、代数的K-理論と、素数論を統一する予想である。 トーマス・ファレルとローウェルE.ジョーンズにちなんで名付けられたファレル＝ジョーンズの推測（en:Farrell–Jones conjecture）につらなるとされ、これらは特定のアセンブリマップが同型であるとされるが、特定の準同型として与えられた動機は、群環の代数的-K理論とアセンブリマップのターゲットへの関心である。 (ja)
  • In mathematics, the Farrell–Jones conjecture, named after F. Thomas Farrell and Lowell E. Jones, states that certain assembly maps are isomorphisms. These maps are given as certain homomorphisms. The motivation is the interest in the target of the assembly maps; this may be, for instance, the algebraic K-theory of a group ring or the L-theory of a group ring , where G is some group. The Baum–Connes conjecture formulates a similar statement, for the topological K-theory of reduced group -algebras . (en)
dcterms:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
sameAs
has abstract
  • In mathematics, the Farrell–Jones conjecture, named after F. Thomas Farrell and Lowell E. Jones, states that certain assembly maps are isomorphisms. These maps are given as certain homomorphisms. The motivation is the interest in the target of the assembly maps; this may be, for instance, the algebraic K-theory of a group ring or the L-theory of a group ring , where G is some group. The sources of the assembly maps are equivariant homology theory evaluated on the classifying space of G with respect to the family of virtually cyclic subgroups of G. So assuming the Farrell–Jones conjecture is true, it is possible to restrict computations to virtually cyclic subgroups to get information on complicated objects such as or . The Baum–Connes conjecture formulates a similar statement, for the topological K-theory of reduced group -algebras . (en)
  • ボスト予想（en:Bost conjecture）は、1995年にフランスの数学者、ジャン＝ブノワ・ボスが提起した予想で、代数的K-理論と、素数論を統一する予想である。 トーマス・ファレルとローウェルE.ジョーンズにちなんで名付けられたファレル＝ジョーンズの推測（en:Farrell–Jones conjecture）につらなるとされ、これらは特定のアセンブリマップが同型であるとされるが、特定の準同型として与えられた動機は、群環の代数的-K理論とアセンブリマップのターゲットへの関心である。 (ja)
prov:wasDerivedFrom
page length (characters) of wiki page
foaf:isPrimaryTopicOf
is Link from a Wikipage to another Wikipage of
is Wikipage redirect of
is known for of
is known for of
is foaf:primaryTopic of
Faceted Search & Find service v1.17_git139 as of Feb 29 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (62 GB total memory, 54 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software