Exterior products of compact quantum metric spaces

Jens Kaad (University of Southern Denmark)

18-Aug-2021, 19:00-20:00 (3 years ago)

Abstract: The theory of compact quantum metric spaces was initiated by Rieffel in the late nineties. Important inspiration came from the fundamental observation of Connes saying that the metric on a compact spin manifold can be recovered from the Dirac operator. A compact quantum metric space is an operator system (e.g. a unital C*-algebra) equipped with a seminorm which metrizes the weak-*-topology on the state space via the associated Monge-Kantorovich metric. In this talk we study tensor products of compact quantum metric spaces with specific focus on seminorms arising from the exterior product of spectral triples. On our way we obtain a novel characterization of compact quantum metric spaces using finite dimensional approximations and we apply this characterization to propose a completely bounded version of the theory.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( video )


Noncommutative Geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click sju.webex.com/meet/nikolaei (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

Organizers: Alexander A. Katz, Igor V. Nikolaev*
*contact for this listing

Export talk to