Irrational Rotation Algebra as a Crossed Product
In this paper we will consider the crossed product C(T) ×α Z, where T is the unit circle, α(n) = αn is a rotation through the angle −2πnθ for n ∈ Z, and θ is a fixed irrational number. We will apply some results about patial actions to represent this crossed product as a C ∗ -subalgebra of B(L...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2006-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/26 |