On $C^*$-algebras generated by some deformations of CAR relations

Daniil Proskurin; Yurii Savchuk; Lyudmila Turowska

On $C^*$-algebras generated by some deformations of CAR relations

Operator Algebras 2007-05-23 v4 Mathematical Physics math.MP

Authors: Daniil Proskurin , Yurii Savchuk , Lyudmila Turowska

Abstract

We study the representation theory and enveloping $C^*$ -algebras for Wick analogues of CAR and twisted CAR algebras. The realization of the $C^*$ -algebras under consideration as algebras of continuous matrix-functions satisfying certain boundary conditions is given.

Keywords

c*-algebras car relations wick analogues representation theory enveloping algebras matrix-functions

Cite

@article{arxiv.math/0409222,
  title  = {On $C^*$-algebras generated by some deformations of CAR relations},
  author = {Daniil Proskurin and Yurii Savchuk and Lyudmila Turowska},
  journal= {arXiv preprint arXiv:math/0409222},
  year   = {2007}
}

Comments

In V.4 we give the description of the enveloping $C^*$-algebra for Wick analogue of CAR with 2 generators, see Section 4

On $C^*$-algebras generated by some deformations of CAR relations

Abstract

Keywords

Cite

Comments

Related papers