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SUMMARY:Kathryn McCormick (CSU Long Beach)
DTSTART:20220629T190000Z
DTEND:20220629T200000Z
DTSTAMP:20260420T052852Z
UID:NYC-NCG/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/105/
 ">Holomorphic subalgebras of $n$-homogeneous $C^*$-algebras</a>\nby Kathry
 n McCormick (CSU Long Beach) as part of Noncommutative geometry in NYC\n\n
 \nAbstract\nThere is a long tradition of analyzing $C^*$-algebras through 
 topological invariants. One such result is Tomiyama and Takesaki's 1961 pr
 oof that an $n$-homogeneous $C^*$-algebra is determined up to $*$-isomorph
 ism by an underlying continuous matrix bundle. Suppose that the base space
  of the bundle is a bordered Riemann surface with finitely many smooth bou
 ndary components\, and the interior of the bundle is holomorphic. Then for
  each such $n$-homogeneous $C^*$-algebra\, one can define a holomorphic su
 balgebra. In this talk\, we will describe some progress made towards class
 ifying these subalgebras up to complete isometric isomorphism based on the
 ir underlying bundles\, including some recent work with Jacob Cornejo.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/105/
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