Slawomir Klimek, Matt McBride, “A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere”, SIGMA, 2014, том 10,036, 15 стр.

Эта публикация цитируется в 3 статьях

A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Slawomir Klimek^a, Matt McBride^b

^a Department of Mathematical Sciences, Indiana University–Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN 46202, USA
^b Department of Mathematics, University of Oklahoma, 601 Elm St., Norman, OK 73019, USA

Аннотация: The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.

Ключевые слова: Dirac type operator; quantum space, $C^*$-algebra.

MSC: 46L99; 47B99; 81R60

Поступила: 30 сентября 2013 г.; в окончательном варианте 25 марта 2014 г.; опубликована 29 марта 2014 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2014.036