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C*-algebras, number theory and classification
12 Nov
12. November 2019
Mathematisch-Physikalisches Kolloquium

C*-algebras, number theory and classification

A C*-algebra is an algebra over the field of complex numbers which is isomorphic to an algebra of operators on a Hilbert space that is closed in the operator norm and closed under taking adjoints. Typical C*-algebras can for instance be associated naturally to objects from algebraic number theory such as algebraic number fields. A key tool for understanding such algebras is (topological) K-theory. This is a generalized cohomology theory. Amazing recent results show that a very large and natural class of C*-algebras (including the ones from number theory mentioned above) can be completely classified by K-theoretic invariants.

Speaker

Prof. Dr. Dr. h.c. Joachim Cuntz/ Mathematisches Institut
Westfälische Wilhelms-Universität Münster

Organiser

Fakultät für Mathematik und Physik

Date

12. November 2019
17:15 o'clock - 19:00 o'clock

Public contact

Prof. Dr. Ulrich Derenthal
Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Location

Welfenschloss
Building: 1101
Room: B302
Hörsaal
Welfengarten 1
30167 Hannover
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