<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Commutative ${C}^*$-subalgebras of simple stably finite ${C}^*$-algebras with real rank zero</dc:title>
<dc:creator>Ping NG</dc:creator><dc:creator>Wilhelm Winter</dc:creator>
<dc:subject>46L85</dc:subject><dc:subject>46L35</dc:subject><dc:subject>nuclear ${C}^*$-algebras</dc:subject><dc:subject>K-theory</dc:subject><dc:subject>classification</dc:subject>
<dc:description>Let $X$ be a second countable, path connected, compact metric space and let $A$ be a unital separable simple nuclear $\mathcal{Z}$-stable real rank zero $C^{*}$-algebra. We classify all the unital $*$-embeddings (up to approximate unitary equivalence) of $C(X)$ into $A$. Specifically, we provide an existence and a uniqueness theorem for unital $*$-embeddings from $C(X)$ into $A$.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3415</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3415</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 3209 - 3240</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>