dc.contributor.advisor | Timoney, Richard | |
dc.contributor.author | Pluta, Robert | |
dc.date.accessioned | 2019-11-14T12:05:23Z | |
dc.date.available | 2019-11-14T12:05:23Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Robert Pluta, 'Ranges of bimodule projections and conditional expectations', [thesis], Trinity College (Dublin, Ireland). School of Mathematics, 2011, pp 150 | |
dc.identifier.other | THESIS 9629 | |
dc.identifier.uri | http://hdl.handle.net/2262/90540 | |
dc.description.abstract | The algebraic theory of comer subrings introduced by Lam (as an abstraction
of the properties of Peirce corners eRe of a ring R associated with an idempotent
e E R) are investigated here in the context of Banach and C*-algebras. We
propose a general algebraic approach which includes the notion of ranges of (completely) contractive conditional expectations on C*-algebras and on ternary rings
of operators and we investigate when topological properties are consequences of
the algebraic assumptions. For commutative C*-algebras we show that dense corners
cannot be proper and that self-adjoint corners must be closed and always
have closed complements (and may also have non-closed complements). For C*-
algebras we show that Peirce corners and some more general corners are similar
to self-adjoint corners. We show uniqueness of complements for certain classes of
corners in general C*-algebras, and establish that a primitive C'-algebra must be
prime if it has a prime Peirce corner. | |
dc.format | 1 volume | |
dc.language.iso | en | |
dc.publisher | Trinity College (Dublin, Ireland). School of Mathematics | |
dc.relation.isversionof | http://stella.catalogue.tcd.ie/iii/encore/record/C__Rb15124927 | |
dc.subject | Mathematics, Ph.D. | |
dc.subject | Ph.D. Trinity College Dublin. | |
dc.title | Ranges of bimodule projections and conditional expectations | |
dc.type | thesis | |
dc.type.supercollection | thesis_dissertations | |
dc.type.supercollection | refereed_publications | |
dc.type.qualificationlevel | Doctoral | |
dc.type.qualificationname | Doctor of Philosophy (Ph.D.) | |
dc.rights.ecaccessrights | openAccess | |
dc.format.extentpagination | pp 150 | |
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