Elliptic Algebras Of Dimension 4

Alex Chirvasitu; S. Paul Watling

doi:10.1006/jfan.1993.1136

Elliptic Algebras Of Dimension 4

Alex Chirvasitu
, S. Paul Watling

Mathematics

University of Washington

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we study the fixed point algebra of the automorphism η of the rotation algebra A_θ, θ = p/q with p, q coprime positive integers, given by η: u → υ, υ → e^-πiθu^-1υ. We give a general characterization of the fixed point algebra and determine its K-theory.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Journal of Functional Analysis
Volume	118
Issue number	1
DOIs	https://doi.org/10.1006/jfan.1993.1136
State	Published - 1993

Keywords

Elliptic algebras
Line modules
Sklyanin algebras

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10.1006/jfan.1993.1136

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title = "Elliptic Algebras Of Dimension 4",

abstract = "In this paper we study the fixed point algebra of the automorphism η of the rotation algebra Aθ, θ = p/q with p, q coprime positive integers, given by η: u → υ, υ → e-πiθu-1υ. We give a general characterization of the fixed point algebra and determine its K-theory.",

keywords = "Elliptic algebras, Line modules, Sklyanin algebras",

author = "Alex Chirvasitu and Watling, \{S. Paul\}",

year = "1993",

doi = "10.1006/jfan.1993.1136",

language = "English",

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T1 - Elliptic Algebras Of Dimension 4

AU - Chirvasitu, Alex

AU - Watling, S. Paul

PY - 1993

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N2 - In this paper we study the fixed point algebra of the automorphism η of the rotation algebra Aθ, θ = p/q with p, q coprime positive integers, given by η: u → υ, υ → e-πiθu-1υ. We give a general characterization of the fixed point algebra and determine its K-theory.

AB - In this paper we study the fixed point algebra of the automorphism η of the rotation algebra Aθ, θ = p/q with p, q coprime positive integers, given by η: u → υ, υ → e-πiθu-1υ. We give a general characterization of the fixed point algebra and determine its K-theory.

KW - Elliptic algebras

KW - Line modules

KW - Sklyanin algebras

UR - https://www.scopus.com/pages/publications/33646972692

U2 - 10.1006/jfan.1993.1136

DO - 10.1006/jfan.1993.1136

M3 - Article

AN - SCOPUS:33646972692

SN - 0022-1236

VL - 118

SP - 1

EP - 21

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Elliptic Algebras Of Dimension 4

Abstract

Keywords

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