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We investigate the structure of Kubo - Martin - Schwinger (KMS) states onsome extension of the universal enveloping algebra of SL(2,C}. We find thatthere exists a one-to-one correspondence between the set of all covariant KMSstates on this algebra and the set of all probability measures d\mu on the realhalf-line, which decrease faster than any inverse polynomial. This problem isconnected to the problem of KMS states on square of white noise algebra.

Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States