Partial dynamical systems and AF C*-algebras

dc.contributor.advisor Justin R. Peters Zerr, Ryan
dc.contributor.department Mathematics 2018-08-24T22:45:10.000 2020-06-30T07:34:16Z 2020-06-30T07:34:16Z Wed Jan 01 00:00:00 UTC 2003 2003-01-01
dc.description.abstract <p>By utilizing the connections between C*-algebras, groupoids, and inverse semigroups, we obtain a characterization theorem, in terms of dynamical systems, of approximately finite-dimensional (AF) C*-algebras. The dynamical systems considered in this characterization consist of partially defined homeomorphisms, and our theorem is applied to obtain a result about crossed product C*-algebras. The ideas developed here are then used to compute the K-theory for AF algebras, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that for a given dimension group, a groupoid can be obtained directly from the dimension group's structure whose associated C*-algebra has K0 group isomorphic to the original dimension group.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 2408
dc.identifier.contextkey 6094307
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/1409
dc.language.iso en
dc.source.bitstream archive/|||Fri Jan 14 20:13:34 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics
dc.title Partial dynamical systems and AF C*-algebras
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48 dissertation Doctor of Philosophy
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