IRRATIONAL ROTATION ALGEBRA AS A CROSSED PRODUCT

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HAGHKHAH SAREH; FAGHIH AHMADI MASOUMEH

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2006 | Volume:1 | Issue:1 Page(s): 57-65

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Title

IRRATIONAL ROTATION ALGEBRA AS A CROSSED PRODUCT

Author(s)

HAGHKHAH SAREH | FAGHIH AHMADI MASOUMEH | Issue Writer Certificate

Keywords

PARTIAL ACTIONQ2

PARTIAL HOMEOMORPHISMQ2

CROSSED PRODUCTQ2

ROTATION ALGEBRAQ2

TOPOLOGICALLY FREEQ2

Abstract

In this paper we will consider the CROSSED PRODUCT C (T) × a Z, where T is the unit circle, a (n) = an is a rotation through the angle -2 pnq for n Î Z, and q is a fixed irrational number. We will apply some results about patial actions to represent this CROSSED PRODUCT as a C*-subalgebra of B (L2 (T)). Also, by a different method form the proof of Davidson, we show that this CROSSED PRODUCT is isomorphic to the irrational ROTATION ALGEBRA.

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APA: Copy

HAGHKHAH, SAREH, & FAGHIH AHMADI, MASOUMEH. (2006). IRRATIONAL ROTATION ALGEBRA AS A CROSSED PRODUCT. JOURNAL OF MATHEMATICAL EXTENSION, 1(1), 57-65. SID. https://sid.ir/paper/240019/en

Vancouver: Copy

HAGHKHAH SAREH, FAGHIH AHMADI MASOUMEH. IRRATIONAL ROTATION ALGEBRA AS A CROSSED PRODUCT. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2006;1(1):57-65. Available from: https://sid.ir/paper/240019/en

IEEE: Copy

SAREH HAGHKHAH, and MASOUMEH FAGHIH AHMADI, “IRRATIONAL ROTATION ALGEBRA AS A CROSSED PRODUCT,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 1, no. 1, pp. 57–65, 2006, [Online]. Available: https://sid.ir/paper/240019/en

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