dc.contributor.author | TIMONEY, RICHARD | |
dc.date.accessioned | 2009-03-25T16:01:44Z | |
dc.date.available | 2009-03-25T16:01:44Z | |
dc.date.issued | 2009 | |
dc.date.submitted | 2009 | en |
dc.identifier.citation | Robert J. Archbold, Douglas W. B. Somerset and Richard M. Timoney `Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra? in Transactions of the American Mathematical Society, 361, (3), 2009, pp 1397 - 1427 | en |
dc.identifier.issn | 1088-6850 | |
dc.identifier.other | Y | en |
dc.identifier.other | Y | |
dc.identifier.uri | http://hdl.handle.net/2262/28666 | |
dc.description | PUBLISHED | en |
dc.description.abstract | We consider the natural contraction from the central Haagerup
tensor product of a C*-algebra A with itself to the space of completely bounded
maps CB(A) on A and investigate those A where there exists an inverse
map with finite norm L(A). We show that a stabilised version L (A) =
supn L(Mn(A)) depends only on the primitive ideal space Prim(A). The
dependence is via simplicial complex structures (defined from primal intersections)
on finite sets of primitive ideals that contain a Glimm ideal of A.
Moreover L (A) = L(A ? K(H)), with K(H) the compact operators, which
requires us to develop the theory in the context of C*-algebras that are not
necessarily unital. | en |
dc.format.extent | 402924 bytes | |
dc.format.extent | 1397 | en |
dc.format.extent | 1427 | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | American Mathematical Society | en |
dc.relation.ispartofseries | Transactions of the American Mathematical Society | en |
dc.relation.ispartofseries | 361 | en |
dc.relation.ispartofseries | 3 | en |
dc.rights | Y | en |
dc.subject | 2000 Mathematics Subject Classification. Primary 46L05, 47B47, 46L06, 46L07 | en |
dc.title | Completely bounded mappings and simplicial complex structure in the primitive ideal space of a C*-algebra | en |
dc.type | Journal Article | en |
dc.contributor.sponsor | Science Foundation Ireland | |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/rtimoney | |
dc.identifier.rssinternalid | 56337 | |
dc.identifier.rssuri | http://www.ams.org/tran/2009-361-03/S0002-9947-08-04666-7/home.html | |