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SUMMARY:Chris Bruce (Newcastle University)
DTSTART:20250326T190000Z
DTEND:20250326T200000Z
DTSTAMP:20260420T053456Z
UID:NYC-NCG/188
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/188/
 ">On the C*-algebra of Connes’ adele class space</a>\nby Chris Bruce (Ne
 wcastle University) as part of Noncommutative geometry in NYC\n\n\nAbstrac
 t\nThe multiplicative group of an algebraic number field acts by multiplic
 ation on the adele ring of the field\, and the quotient space for this act
 ion is Connes’ adele class space. I will give an overview of joint work 
 with Takuya Takeishi in which we prove that the crossed product $C^*$-alge
 bra associated with the adele class space completely remembers the number 
 field. Precisely\, we prove that two such crossed product C*-algebras are 
 *-isomorphic if and only if the underlying number fields are isomorphic. P
 rimitive ideals and subquotients play a central role in our proof.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/188/
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